Giai Nhanh Vat Li 12 Bang FX570ES

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    HY THDNG MY TNH CASIO fx570ES & 570ES PlusGII NHANH mt s bi tp TRC NGHIM VT L 12!

    I.GII TM NHANH MT I LNG CHA BIT TRONG BIU THC VT L:1.Sdng SOLVE ( Ch dng trong COMP: MODE 1 )a)V d 1: Tnh khi lng m ca con lc l xo dao ng, khi bit chu k T =0,1(s) v cng

    k=100N/m. Ta dng biu thc 2=m

    Tk

    Ch : phm gn bin X: ALPHA ) ; SOLVE: SHIFT CALC ; Du = trong biu thc: ALPHA CALC

    Phng php truyn thng Phng php dng SOLVE

    Ta c : 2=m

    Tk

    >2 24=

    mT

    k

    Suy ra:

    2

    2

    .

    4=

    k Tm

    Th s:

    2

    2

    100.(0,1 )

    4=m

    =0,25kg

    Vy :khi lng m ca con lc 0,25kg

    -Vi my FX570ES:Bm: MODE 1

    -Bm: 0.1 SHIFT X10X ALPHA CALC = 2

    SHIFT X10X ALPHA ) X 100

    Mn hnh xut hin: 0.1 2 100=

    X

    -Tip tc bm:

    SHIFT CALC SOLVE = ( chkhong 6s )

    Mn hnh hin th:

    Vy : m= 0,25 kg

    Bn thdng ng h ln lt o thi gian khi gii c 2 phng php ri rt ra kt lun !

    Tv d ny chng ta c th suy lun cch dng cc cng thc khc!!!

    b)V d 2:Tnh cng ca con lc l xo dao ng, khi bit chu k T =0,1(s) v khi lng =0,25kg.

    .-Ta dng biu thc 2=m

    Tk

    lm Tng t nh trn, cui cng mn hnh xut hin:0.250.1 2=X

    -Tip tc bm:SHIFT CALC SOLVE =

    ( chkhong 6s ),Mn hnh hin th nh hnh bn :

    Vy : k =100N/m

    0 .1 21 0 0

    =X

    X= 0.25

    L--R = 0

    0 . 2 50 .1 2=

    X

    X= 100

    L--R = 0

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    II.GII NHANH TNG HP DAO NG NHMY TNH CASIO fx570ES, 570ES Plus.A.KIN THC:1. Tng hp hai dao ng iu ho cng phng cng tn s nhsau:x1 = A1cos (t + 1) v x2 = A2cos (t + 2) th: x = x1 + x2ta c x = Acos (t + ) . Vi:

    Bin : A2=A12+ A2

    2+2A1A2cos (2 - 1); Pha ban u :tan =2211

    2211

    coscos

    sinsin

    AA

    AA

    +

    +

    vi 1 2 (nu 12 )

    2.Nu mt vt tham gia ng thi nhiu dao ng iu ho cng phng cng tn s:x1 = A1cos (t + 1),x2 = A2cos (t + 2) v x3 = A3cos (t + 3) ... th dao ng tng hpcng l dao ng iu ho cng phng cng tn s: x = Acos (t + ) .Chiu ln trc Ox v trc Oy trong h xOy. Ta c:

    Ax = Acos = A1cos 1+ A2cos 2+ A3cos 3 + ..v Ay = A sin = A1sin 1+ A2sin 2+ A3sin 3 + ..

    Bin : : A =

    2 2x yA A+ v Pha ban u : tan =

    y

    x

    A

    A vi [Min, Max]

    3.Khi bit dao ng thnh phnx1=A1cos (t + 1) v dao ng tng hp x = Acos(t +) thdao ng thnh phn cn li l x2 =x - x1 . vi x2 = A2cos (t + 2).

    Bin : A22=A2+ A1

    2-2A1Acos( -1); Pha tan 2=1 1

    1 1

    sin sin

    cos cos

    A A

    A A

    vi 12(nu 12)

    4.Nhc im ca phng php trn khi lm trc nghim:Mt nhiu thi gian biu din gin vct, i khi kh biu din c vi nhng bi ton tng hp t3 dao ng trln, hay i tm dao ng thnh phn. Nn vic xc nh A v ca dao ng tng hp theophng php trn mt nhiu thi gian v d nhm ln cho hc sinh, thm ch ngay c vi gio vin.-Vic xc nh gc hay 2 tht s kh khn i vi hc sinh bi v cng mt gi trtan lun tn tihai gi tr ca (v d: tan=1 th = /4hoc -3/4),vy chn gi tr no cho ph hp vi bi ton!.

    B. GII PHP :Dng my tnh CASIO fx 570ES, 570ES Plus hoc CASIO fx 570MS.(Gip cc em hc sinh v h trgio vin kim tra nhanh c kt qu bi ton tng hp dao ng trn).1. Csl thuyt:+Dao ng iu hox = Acos(t + ) c thc biu din bng vectquay

    ur

    A c di t l vi bin A v to vi trc honh mt gc bng gc pha ban u .+Mt khc cng c thc biu din bng s phc di dng: z = a + bi

    +Trong ta cc: z =A(sin +i cos) (vi mun: A= 2 2a b+ ) hayZ = Aej(t + ).+V cc dao ng c cng tn s gc nn ngi ta thng vit vi quy c z = AeJ, trong my tnhCASIO fx- 570ES k hiu di dng l: r (ta hiu l: A ).+c bit gic sc hin th trong phm vi : -1800< < 1800 hay -

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    Bm:MODE xut hi n chCMPLX

    2.Chn ch thc hin php tnh vsphc ca my tnh: CASIO fx 570ES, 570ES PlusCc bc Chn ch Nt lnh ngha- Kt quCi t ban u (Reset all): Bm SHIFT 9 3 == Reset allHin th1 dng (MthIO) Bm SHIFT MODE 1 Mn hnh xut hin Math.Thc hin php tnh v s phc Bm MODE 2 Mn hnh xut hin ch

    CMPLX

    Tnh dng to cc: r

    (ta hiu l:A )

    BmSHIFT MODE 3 2 Hin th s phc kiu r

    Tnh dng to cc: a + ib. Bm SHIFT MODE 3 1 Hin th s phc kiu a+biChn n vo gc l (D) Bm: SHIFT MODE3 Mn hnh hin th chDChn n vo gc l Rad (R) Bm: SHIFT MODE4 Mn hnh hin th chR nhp k hiu gc Bm SHIFT (-). Mn hnh hin th k hiu

    V d: Cch nhp: My tnh CASIO fx 570ESCho: x= 8cos(t+ /3)sc biu din vi s phc 8 600 hay 8/3ta lm nh sau:

    -Chn mode: Bm my: MODE 2 mn hnh xut hin chCMPLX-Chn n vo gc l (D) ta bm: SHIFT MODE3 trn mn hnh hin th chD-Nhp my: 8 SHIFT (-) 60 s hin th l: 8 60-Chn n vo gc l Rad (R) ta bm: SHIFT MODE4trn mn hnh hin th chR

    -Nhp my: 8 SHIFT (-) (:3s hin th l: 81

    3

    Kinh nghim: Nhp vi n v nhanh hn n vradnhng kt qu sau cng cn phi chuyn sang n vradcho nhng bi ton theo n vrad. (V nhp theo n vrad phi c du ngoc n ()nn thao tc nhp lu hn,v d: Nhp 90 th nhanh hn nhp (/2)

    Bng chuyn i n vgc: (Rad)=

    (D).

    180

    n v gc () 15 30 45 60 75 90 105 120 135 150 165 180 360n v gc (Rad) 1

    12

    1

    6

    1

    4

    1

    3

    5

    12

    1

    2

    7

    12

    2

    3

    9

    12

    5

    6

    11

    12

    2

    3.Lu :Khi thc hin php tnhkt quc hin thdng i s: a +bi (hoc dng cc:A).-Chuyn t dng : a + bi sang dng: A , bm SHIFT 2 3 =

    V d: Nhp: 8 SHIFT (-) (:3 ->Nu hin th: 4+ 4 3 i , munchuyn sang dng cc A :

    - Bm phm SHIFT 2 3 = kt qu:81

    3

    -Chuyn t dng Asang dng : a + bi : bm SHIFT 2 4 =V d: Nhp: 8 SHIFT (-) (:3 -> Nu hin th: 8

    1

    3, mun chuyn sang dng phc a+bi :

    - Bm phm SHIFT 2 4 =kt qu :4+4 3 i

    Bm SHIFT 2 mn hnh xut hin nh hnh bn

    Nu bm tip phm 3 = kt qudng cc (r )Nu bm tip phm 4 = kt qudng phc (a+bi )( ang thc hin php tnh )

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    4.Tm dao ng tng hp xc nh A v bng cch dng my tnh thc hin php cng:a.Vi my FX570ES:Bm chnMODE 2 trn mn hnh xut hin ch: CMPLX.

    -Chn n vo gc l (D) ta bm: SHIFT MODE3 trn mn hnh hin th chD(hoc Chn n vo gc l Rad (R) ta bm: SHIFT MODE4trn mn hnh hin th chR )

    -Nhp A1 ,bm SHIFT (-) , nhp 1, bm +, Nhp A2, bm SHIFT (-) ,nhp 2 nhn = hin thkt qu.

    (Nu hin th s phc dng: a+bi th bm SHIFT 2 3 = hin thkt qu: A)

    b.Vi my FX570MS : Bm chnMODE 2trn mn hnh xut hin ch: CMPLX.Nhp A1, bm SHIFT (-) nhp 1 , bm + , Nhp A2 , bm SHIFT (-) nhp 2 nhn =Sau bm SHIFT + = hin th kt qu l: A. SHIFT = hin th kt qu l:

    c.Lu Ch hin th mn hnh kt qu:Sau khi nhp ta n du = c th hin th kt qu di dng sv t, mun kt qu di dng thp phn tan SHIFT = (hoc dng phm SD ) chuyn i kt quHin th.

    d.Cc v d:V d 1:Mt vt thc hin ng thi hai dao ng iu ha cng phng, cng tn s c phng trnh:x1 = 5cos( t +/3) (cm); x2 = 5cos t (cm). Dao ng tng hp ca vt c phng trnh

    A. x = 5 3 cos( t -/4 ) (cm) B.x = 5 3 cos( t + /6) (cm)C. x = 5cos( t + /4) (cm) D.x = 5cos( t - /3) (cm) p n B

    Phng php truyn thng Phng php dng s phc

    Bin : 2 21 2 1 2 2 12. .cos( )= + + A A A A A

    Pha ban u : tan =2211

    2211

    coscos

    sinsin

    AA

    AA

    +

    +

    Th s:

    A=2 2

    5 5 2.5.5.cos( / 3) 5 3+ + = (cm)

    tan =5.sin( / 3) 5.sin 0 5. 3 / 2 3

    15cos( / 3) 5.cos0 35. 12

    += =

    ++

    =>

    = /6.

    Vy :x = 5 3 cos( t + /6) (cm)

    -Vi my FX570ES:Bm: MODE 2

    -n vo gc l (D)bm: SHIFT MODE3

    Nhp:

    5 SHIFT (-) (60) + 5 SHIFT (-) 0 =

    Hin th kt qu: 5 3 30Vy :x = 5 3 cos( t + /6) (cm)

    (Nu Hin th dng cc:15 5 3

    2 2+ i th

    Bm SHIFT 2 3 = Hin th: 5 3 30 )

    Bn thdng ng h ln lt o thi gian khi gii c 2 phng php ri rt ra kt lun !

    Gii khi dngn vo gc l Rad(R):SHIFT MODE 4Bm chn MODE 2 mn hnh xut hin: CMPLX. Tm dao ng tng hp:

    Nhp :5 SHIFT (-). (/3) + 5 SHIFT (-) 0 = Hin th: 5 3 1

    6

    V d 2:Mt vt thc hin ng thi hai dao ng iu ho cng phng, cng tn s

    x1=cos(2t + )(cm), x2 = 3 .cos(2t - /2)(cm). Phng trnh ca dao ng tng hpA. x = 2.cos(2t - 2/3) (cm) B. x = 4.cos(2t + /3) (cm)C. x = 2.cos(2t + /3) (cm) D. x = 4.cos(2t + 4/3) (cm)

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    Gii: Vi my FX570ES :Bm chn MODE 2 trn mn hnh xut hin ch: CMPLXChn n vo gc l rad (R): SHIFT MODE 4

    -Nhp my: 1 SHIFT(-) + 3 SHIFT(-) (-/2 = Hin th 2-2

    3

    . p n A

    V d 3:Mt vt dao ng iu ha xung quanh v tr cn bng dc theo trc xOx c li

    )()2

    2cos(3

    4))(

    62cos(

    3

    4cmtcmtx

    +++= . Bin v pha ban u ca dao ng l:

    A. .3

    ;4 radcm

    B. .6

    ;2 radcm

    C. .6

    ;34 radcm

    D. .3

    ;3

    8radcm

    p n A

    Gii 1: Vi my FX570ES : Bm chn MODE 2 trn mn hnh xut hin ch: CMPLXChn n vo gc l radian(R):SHIFT MODE 4

    Nhp my:4

    3

    SHIFT (-). (/6) +4

    3

    SHIFT (-). ( /2 = Hin th: 4 1

    3

    Gii 2: Vi my FX570ES : Chn n vo gc l Degre(D):SHIFT MODE 3

    Nhp my:4

    3

    SHIFT (-). 30 +4

    3

    SHIFT (-). 90 = Hin th: 4 60

    V d 4:Ba dao ng iu ha cng phng, cng tn s c phng trnh ln lt l x1= 4 cos(t - /2)(cm) , x2= 6cos(t +/2) (cm) v x3=2cos(t) (cm). Dao ng tng hp ca 3 dao ng ny c bin vpha ban u l

    A. 2 2 cm; /4 rad B. 2 3 cm; - /4 rad C.12cm; + /2 rad D.8cm; - /2 radGii: Vi my FX570ES :Bm chn MODE 2 trn mn hnh xut hin ch: CMPLXChn n v gc tnh rad (R). SHIFT MODE 4Tm dao ng tng hp, nhp my:

    4 SHIFT(-) (- /2) + 6 SHIFT(-) (/2) + 2 SHIFT(-) 0 = Hin th: 2 2 /4. Chn AV d 5: Dao ng tng hp ca hai dao ng iu ha cng phng, cng tn s

    x1= a 2 cos(t+/4)(cm) v x2 = a.cos(t + ) (cm) c phng trnh dao ng tng hp l

    A. x = a 2 cos(t +2/3)(cm) B. x = a.cos(t +/2)(cm)

    C. x = 3a/2.cos(t + /4)(cm) D. x = 2a/3.cos(t +/6)(cm) Chn BGii: Vi my FX570ES :Bm chn MODE 2 trn mn hnh xut hin ch: CMPLX

    chn n v gc tnh theo (D) Bm : SHIFT MODE3 ( Lu : Khng nhp a)

    Tm dao ng tng hp: Nhp my : 2 SHIFT(-)45 + 1 SHIFT(-)180 = Hin th: 1 90,

    e. Trc nghim vn dng :Cu 1: Cho hai dao ng iu ha cng phng, cng tn s x1= 3 cos(5t +/2) (cm) v

    x2 = 3 cos( 5t + 5/6)(cm). Phng trnh dao ng tng hp lA. x = 3 cos ( 5t + /3) (cm). B. x = 3 cos ( 5t + 2/3) (cm).C. x= 3 cos ( 5t + 2 /3) (cm). D. x = 4 cos ( 5t +/3) (cm) p n B

    Cu 2: Mt vt thc hin ng thi hai dao ng iu ha cng phng, cng tn s theo cc phngtrnh: x1 = 4cos(t )(cm) v x2 = 4 3 cos(t + /2) (cm). Phng trnh ca dao ng tng hp

    A. x1 = 8cos(t + /3) (cm) B. x1 = 8cos(t -/6) (cm)C. x1 = 8cos(t - /3) (cm) D. x1 = 8cos(t + /6) (cm) p n A

    Cu 3: Mt vt thc hin ng thi hai dao ng iu ha cng phng, cng tn s theo cc phng

    trnh: x1 = acos(t + /2)(cm) v x2 = a 3 cos(t) (cm). Phng trnh ca dao ng tng hpA. x = 2acos(t + /6) (cm) B. x = 2acos(t -/6) (cm)C. x = 2acos(t - /3) (cm) D. x = 2acos(t + /3) (cm) p n A

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    5.Tm dao ng thnh phn ( xc nhA2v 2 ) bng cch dng my tnh thc hin phptr:V d tm dao ng thnh phn x2: x2 =x - x1 vi: x2 = A2cos(t + 2)Xc nh A2 v 2?

    a.Vi my FX570ES : Bm chn MODE 2 mn hnh xut hin ch: CMPLX-Chn n vo gc l ta bm: SHIFT MODE3 trn mn hnh hin th chD(hoc Chn n vo gc l Radian ta bm: SHIFT MODE4trn mn hnh hin th chR )

    Nhp A , bm SHIFT (-) nhp ; bm - (tr), Nhp A1 , bm SHIFT (-) nhp 1 , nhn =kt qu.(Nu hin th s phc th bm SHIFT 2 3 = hin th kt qu trn mn hnh l: A22b.Vi my FX570MS : Bm chn MODE 2 mn hnh xut hin ch: CMPLXNhp A , bm SHIFT (-) nhp ;bm - (tr), Nhp A1 , bm SHIFT (-) nhp 1 nhn =Sau bm SHIFT + = hin th kt qu l:A2. bm SHIFT = hin th kt qu l: 2

    c.Cc v d :V d 6: Mt cht im dao ng iu ho c phng trnh dao ng tng hp x=5 2 cos(t+5/12)(cm)vi cc dao ng thnh phn cng phng, cng tn s l x1=A1cos(t +1) v x2=5cos(t+/6)(cm),Bin v pha ban u ca dao ng 1 l:

    A. 5cm; 1 = 2/3 B.10cm; 1= /2 C.52 (cm) 1 = /4 D. 5cm;1= /3Gii: Vi my FX570ES :Bm chn MODE 2 trn mn hnh xut hin ch: CMPLX

    -Chn n vo gc l rad (R):SHIFT MODE 4. Tm dao ng thnh phn:

    Nhp my : 5 2 SHIFT(-) (5 /12) 5 SHIFT(-) ( /6 = Hin th: 52

    3

    , chn A

    V d 7: Mt vt ng thi tham gia 3 dao ng cng phng, cng tn s c phng trnh dao ng: x1

    = 2 3 cos(2t + /3) (cm), x2 = 4cos(2t +/6) (cm) v x2 = A3cos(t +3) (cm). Phng trnh dao ngtng hp c dng x = 6cos(2t - /6) (cm). Tnh bin dao ng v pha ban u ca dao ng thnh phnth 3:

    A. 8cm v - /2. B. 6cm v /3. C. 8cm v /6 . D. 8cm v /2. Chn A

    Gii: Vi my FX570ES :Bm chn MODE 2 trn mn hnh xut hin ch: CMPLXChn n vo gc l rad(R) SHIFT MODE 4. Tm dao ng thnh phn th 3: x3 = x - x1 x2

    Nhp my: 6 SHIFT(-) (-/6) - 2 3 SHIFT(-) (/3) - 4 SHIFT(-) (/6 = Hin th: 8- 1 2

    .

    d. Trc nghim vn dng :Cu 4: Mt vt ng thi tham gia 2 dao ng cng phng, cng tn s c phng trnh dao ng: x1 =8cos(2t + /2) (cm) v x2 = A2cos(t +2) (cm). Phng trnh dao ng tng hp c dng

    x=8 2 cos(2t + /4) (cm). Tnh bin dao ng v pha ban u ca dao ng thnh phn th 2:A. 8cm v 0. B. 6cm v /3. C. 8cm v /6 . D. 8cm v /2.

    Cu 5: Mt vt ng thi tham gia 3 dao ng cng phng, cng tn s c phng trnh dao ng: x1 =

    8cos(2t + /2) (cm), x2 = 2cos(2t -/2) (cm) v x3 = A3cos(t +3) (cm). Phng trnh dao ng tnghp c dng x = 6 2 cos(2t + /4) (cm). Tnh bin dao ng v pha ban u ca dao ng thnh phnth 3:

    A. 6cm v 0. B. 6cm v /3. C. 8cm v /6 . D. 8cm v /2.Cu 6: Mt vt ng thi tham gia 3 dao ng cng phng, cng tn s c phng trnh dao ng: x1 =a.cos(2t + /2) , x2 = 2a.cos(2t - /2) v x3 = A3cos(t +3). Phng trnh dao ng tng hp c dng x

    = a 2 cos(2t - /4) (cm). Tnh bin dao ng v pha ban u ca dao ng thnh phn th 3:

    A. a v 0. B. 2a v /3. C. a 2 v /6 . D. 2a 2 v /2.

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    II. BI TON CNG IN P XOAY CHIU DNG MY TNH FX-570ES1.Cch 1:Phng php gin vc t: Dng phng php tng hp dao ng iu ho.-Ta c: u1 = U01 1os( )c t + v u2 = U01 2os( )c t +

    -Th in p tng trong on mch ni tip: u = u1 +u2 = 01 021 2os( ) os( )+ + +U c t U c t

    -in p tng c dng: u = U0 sin( )t +

    Vi: U02 = U201+ U02

    2 + 2.U02.U01. Cos( 1 2) ;01 1 02 2

    01 1 02 2

    sin .sin

    cos cos

    U Utg

    U U

    +=

    +

    V D 1: Cho mch gm: on AM cha: R, C mc ni tip vi on MB cha cun cm L,r. Tm uAB = ?Bit:

    uAM = 100 2 s os(100 )3

    c t

    (V) 1100( ),3

    AMU V

    = =

    uMB = 100 2 os(100 )6

    c t

    + (V) ->UMB = 100(V) v 26

    =

    Bi gii: Dng cng thc tng hp dao ng: uAB =uAM +uMB

    + UAB =2 2100 100 2.100.100.cos( ) 100 2( )

    3 6V

    + + = => U0AB = 200(V)

    +

    100sin( ) 100sin( )

    3 6tan100cos( ) 100cos( 1

    3 62)

    =

    +

    = +

    + Vy uAB = 100 2 2 os(100 )12

    c t

    (V) hay uAB = 200 os(1002

    )1

    c t

    (V)

    2.Cch 2: Dng my tnh FX-570ES: uAB =uAM +uMB xc nh U0AB v . ( RT NHANH!)a.Chn ch mc nh ca my tnh: CASIO fx 570ES+ ci t ban u (Reset all), Bm SHIFT 9 3 ==+ My CASIO fx570ESbm SHIFT MODE 1 hin th 1 dng (MthIO) Mn hnh xut hin Math.+ thc hin php tnh v s phc th bm my : MODE 2 mn hnh xut hin CMPLX

    + tnh dng to cc : r (ta hiu l A) , Bm my: SHIFT MODE 3 2-Chn n vo gc l (D) ta bm my : SHIFT MODE3 mn hnh hin th chD-Chn n vo gc l Rad (R) ta bm my: SHIFT MODE4 mn hnh hin th chR

    + nhp k hiu gc ta bm: SHIFT (-).

    b.V d: Cho: uAM = 100 2 s os(100 )3

    c t

    (V)s biu din 100 2 -600hoc 100 2 -1

    3

    My tnh CASIO fx 570ES : Chn MODE: Bm my: MODE 2 mn hnh xut hin chCMPLX-Chn n vo gc l (D) ta bm: SHIFT MODE3 trn mn hnh hin th chD

    Nhp my: 100 2 SHIFT (-) -60 hin th: 100 2 -60-Chn n vo gc l Rad (R) ta bm: SHIFT MODE4trn mn hnh hin th chR

    Nhp my: 100 2 SHIFT (-) (-:3hin th : 100 2 -1

    3

    -Cn chn ch mc nh theo dng to cc r (ta hiu l A )- Chuyn t dng : a + bi sang dng A , ta bm SHIFT 2 3 =(- Chuyn t dng Asang dng : a + bi , ta bm SHIFT 2 4 = )

    c.Xc nh U0 v bng cch bm my tnh:+Vi my FX570ES : Bm chn MODE 2 trn mn hnh xut hin ch: CMPLX.

    -Nhp U01 bm SHIFT (-) nhp 1; bm +, Nhp U02 , bm SHIFT (-) nhp 2 nhn = kt qu.(Nu hin th s phc dng: a+bi th bm SHIFT 2 3 = hin thkt qu: A

    +Vi my FX570MS : Bm MODE 2 trn mn hnh xut hin ch: CMPLX.

    HnhuAM

    BA R L,r

    uMB

    MC

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    Nhp U01, bm SHIFT (-) nhp 1 , bm + , Nhp U02 , bm SHIFT (-) nhp 2 nhn =Sau bm SHIFT + = hin th kt qu l: A SHIFT = hin th kt qu l:

    +Lu Ch hin th kt qu trn mn hnh:Sau khi nhp, n du = hin th kt qu di dng sv t, mun kt qu di dng thp phn ta n SHIFT =( hoc dng phm SD ) chuyn i kt quHin th.

    V d 1 trn :Tm uAB = ? vi: uAM = 100 2 os(100 )3

    c t

    (V) 0 1100 2( ), 3AMU V

    = =

    uMB = 100 2 os(100 )6c t + (V) -> U0MB = 100 2 (V) , 2 6

    =

    Gii 1:Vi my FX570ES : Bm chn MODE 2 trn mn hnh xut hin ch: CMPLXChn ch my tnh theo D():SHIFT MODE 3

    Tm uAB?Nhp my:100 2 SHIFT (-) (-60) + 100 2 SHIFT (-) 30 = Hin th kt qu :

    200-15 . Vy uAB = 2000os( 15 )c t (V) Hay: uAB = 200 os(100 )

    12c t

    (V)

    Gii 2:Chn ch my tnh theo R (Radian):SHIFT MODE 4

    Tm uAB? Nhp my:100 2 SHIFT (-). (- /3) + 100 2 SHIFT (-) ( /6 =Hin th kt qu:

    200-/12 . Vy uAB = 200 os(100 )

    12

    c t

    (V)

    d. Nu cho u1 = U01cos(t + 1) v u = u1 + u2 = U0cos(t + ) .Tm dao ng thnh phn u2: (V d hnh minh ha bn)u2 = u - u1 .vi: u2 = U02cos(t + 2). Xc nh U02 v 2

    *Vi my FX570ES : Bm chn MODE 2Nhp U0, bm SHIFT (-) nhp ; bm - (tr) , Nhp U01 , bm SHIFT (-) nhp 1 nhn = kt qu.(Nu hin th s phc th bm SHIFT 2 3 = kt qu trn mn hnh l: U022

    *Vi my FX570MS : Bm chn MODE 2Nhp U0 , bm SHIFT (-) nhp bm - (tr), Nhp U01 , bm SHIFT (-) nhp 1 nhn =bm SHIFT (+) = , ta c U02 ; bm SHIFT (=) ; ta c 2

    V d 2: Nu t vo hai u mt mch in cha mt in trthun v mt cun cm thun mc ni tip mt in

    p xoay chiu c biu thc u = 100 2 cos(t +4 ) (V), th khi in p hai u in tr thun c biu thc

    uR=100cos(t) (V). Biu thc in p gia hai u cun cm thun s l

    A. uL= 100 cos(t +2

    )(V). B. uL = 100 2 cos(t +

    4

    )(V).

    C. uL = 100 cos(t +4

    )(V). D. uL = 100 2 cos(t +

    2

    )(V).

    Gii 1: Vi my FX570ES : Bm chn MODE 2 trn mn hnh xut hin ch: CMPLXChn ch my tnh theo D ():SHIFT MODE 3

    Tm uL? Nhp my:100 2 SHIFT (-). (45) - 100 SHIFT (-). 0 =

    Hin th kt qu :10090 . Vy uL= 100 os( )2

    c t + (V) Chn A

    Gii 2:Chn ch my tnh theo R (Radian):SHIFT MODE 4Tm uL? Nhp my:100 2 SHIFT (-). (/4) - 100 SHIFT (-). 0 =

    Hin th kt qu: 100/2 . Vy uL= 100 os( )2

    c t

    + (V) Chn A

    Hnhu1

    BA X Y

    u2

    M

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    V d 3: Nu t vo hai u mt mch in cha mt in trthun v mt tin mc ni tip mt in p xoay

    chiu c biu thc u = 100 2 cos(t -4

    )(V), khi in p hai u in trthun c biu thc uR=100cos(t)

    (V). Biu thc in p gia hai u tin s l

    A. uC = 100 cos(t -2

    )(V). B. uC = 100 2 cos(t +

    4

    )(V).

    C. uC = 100 cos(t + 4

    )(V). D. uC = 100 2 cos(t + 2

    )(V).Gii 1: Vi my FX570ES : Bm chn MODE 2 trn mn hnh xut hin ch: CMPLX

    Chn ch my tnh theo (D):SHIFT MODE 3Tm uc? Nhp my:100 2 SHIFT (-). (-45) - 100 SHIFT (-). 0 =

    Hin th kt qu :100-90 . Vy uC = 100 os( )2

    c t

    (V) Chn A

    Gii 2:Chn ch my tnh theo Radian( R):SHIFT MODE 4Tm uC ? Nhp my:100 2 SHIFT (-). (-/4) - 100 SHIFT (-). 0 =

    Hin th kt qu: 100-/2 . Vy uC = 100 os( )2

    c t

    (V Chn A

    V d 4: on mch AB c in trthun, cun dy thun cm v t in mc ni tip. M l mt im trn trndon AB vi in p uAM = 10cos100t (V) v uMB = 10 3 cos (100t -

    2) (V). Tm biu thc in p uAB.?

    A. u 20 2cos(100 t) (V)AB = B. ABu 10 2cos 100 t (V)3

    = +

    C. u 20.cos 100 t V)AB 3(

    = +

    D. ABu 20.cos 100 t V)3

    (

    =

    Chn D

    Gii 1: Vi my FX570ES: Bm chn MODE 2 trn mn hnh xut hin ch: CMPLXChn ch my tnh theo (D):SHIFT MODE 3

    Tm uAB? Nhp my:10 SHIFT (-). 0 + 10 3 SHIFT (-). -90 =

    Hin th kt qu :20-60 . Vy uAB = 20 os(100 )3

    c t (V) Chn D

    Gii 2:Chn ch my tnh theo Radian (R):SHIFT MODE 4

    Tm uAB ? Nhp my:10 SHIFT (-). 0 + 10 3 SHIFT (-). (- /2 =

    Hin th kt qu: 20-/3 . Vy uC = 20 os(100 )3

    c t

    (V) Chn D

    e. Trc nghim vn dng :

    Cu 1:t in p xoay chiu vo hai u on mch R, L thun cm , C mc ni tip th in p on mch cha

    LC l 1 60cos 100 . ( )

    2

    u t V

    = +

    (A) v in p hai u R on mch l ( )2 60cos 100 . ( )u t V= . in p hai u

    on mch l:

    A. ( )3/.100cos260 = tu (V). B. ( )6/.100cos260 = tu (V)

    C. ( )60 2 cos 100 . / 4u t = + (V). D. ( )6/.100cos260 += tu (V). Chn C

    Cu 2: Cho mch in xoay chiu nh hnh v . t vo hai u A, B mt in p xoay chiu , in p tc thi gia

    cc im A v M , M v B c dng : ( )AMu 15 2 cos 200 t / 3 (V)=

    V ( )MBu 15 2 cos 200 t (V)= . Biu thc in p gia A v B c dng :

    B

    A

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    C LA BR M

    A. ABu 15 6 cos(200 t / 6)(V)= B. ( )ABu 15 6 cos 200 t / 6 (V)= +

    C. ( )ABu 15 2 cos 200 t / 6 (V)= D. ( )ABu 15 6 cos 200 t (V)=

    Cu 3: Mt on mch gm tin C c dung khng ZC = 100 v mt cun dy c cm khng ZL = 200 mcni tip nhau. in p ti hai u cun cm c biu thc uL = 100cos(100 t + /6)(V). Biu thc in p hai uon mch c dng nh th no?

    A. u = 50cos(100 t - /3)(V). B. u = 50cos(100 t - 5 /6)(V).C. u = 100cos(100 t - /2)(V). D. u = 50cos(100 t + /6)(V). Chn D

    Cu 4(H2009): t in p xoay chiu vo hai u on mch c R, L, C mc ni tip. Bit R = 10 , cun cm

    thun c L=1/(10) (H), tin c C = (F) v in p gia hai u cun cm thun l uL= 20 cos(100t +

    /2) (V). Biu thc in p gia hai u on mch lA. u = 40cos(100t + /4) (V). B. u = 40 cos(100t /4) (V).

    C. u = 40 cos(100t + /4) (V). D. u = 40cos(100t /4) (V). Chn D

    Cu 5: Hai u on mch CRL ni tip c mt in p xoay chiu: uAB =100 2 cos(100t)(V), in p gia hai

    u MB l: uMB = 100cos(100t +4

    )(V).

    Biu thc ca in p gia hai u on AM l:

    A. uAM = 100cos(100t +2 )V. B. uAM = 100 2 cos(100t -

    2 )V.

    C. uAM = 100cos(100t -4

    )V D. uAM = 100 2 cos(100t -

    4

    )V. Chn C

    Cu 6: t vo hai u vo hai u on mch R, L, C mc ni tip . Bit R = 10, cun cm thun c

    HL10

    1= , tin c FC

    2

    10 3= v in p t vo hai u cun cm thun c dng

    VtuL )2100cos(220

    += . Biu thc in p hai u on mch l:

    A. Vtu )4100cos(240

    += B. Vtu )4100cos(40

    =

    C. Vtu )4

    100cos(40

    += D. Vtu )4

    100cos(240

    =

    Chn B

    Cu 7: Mt mch in xoay chiu RLC ( hnh v) c R = 100 ;

    L=3

    (H). in p hai u on mch AM cha R c dng:

    u1 = 100 cos100 t(V). Vit biu thc tc thi in p hai u AB ca mch in.

    A. 200 2 cos(100 )3

    u t

    = + (V) B. 200 2 cos(100 )4

    u t

    = (V)

    C. 200cos(100 )3u t

    = + (V) D. 200 2 cos(100 )4u t

    = (V). Chn CCu 8 : mch in hnh v bn , khi t mt in p xoay chiu vo AB th 120 2 os(100 )AMu c t V = v

    120 2 os(100 )3MB

    u c t V

    = + . Biu thc in p hai u AB l :

    A. 120 2 os(100 )4AB

    u c t V

    = + . B. 240 os(100 )6AB

    u c t V

    = + .

    C. 120 6 os(100 )6AB

    u c t V

    = + . D. 240 os(100 )4AB

    u c t V

    = + .

    Hnhu1

    BA R L

    u2

    M

    M

    CA B

    R L,r

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    III. TM BIU THC i HOC u TRONG MCH IN XOAY CHIU DNG MY FX-570ES1.Phng php gii truyn thng:Cho R , L, C ni tip. Nu cho u=U0cos(t+ u),vit i? Hoc nu cho i=I0cos(t+ i),vit u?

    Bc 1: Tnh tng trZ: Tnh LZ L= .;1 1

    2CZ

    C fC = = v 2 2( )L CZ R Z Z = +

    Bc 2: nh lut m : U v I lin h vi nhau biU

    IZ

    = ; Io =Z

    Uo ;

    Bc 3: Tnh lch pha gia u hai u mch v i: tan L CZ Z

    R

    = ; Suy ra

    Bc 4: Vit biu thc i hoc u:a) Nu cho trc u=U0cos(t+ u) th i c dng: i =I0cos(t + u -).b) Nu cho trc i=I0cos(t + i) th u c dng: u =U0cos(t+ i +).

    2.Phng php dng my tnh FX-570ES: (NHANH V HIU QU CHO TRC NGHIM)a.Tm hiu cc i lng xoay chiu dng phc: Xem bng lin h :I LNG IN CNG THC DNG S PHC TRONG MY TNH FX-570ES

    Cm khng ZL ZL ZL i (Ch trc i c du cng l ZL )Dung khng ZC ZC - ZC i (Ch trc i c du tr l Zc )Tng tr:

    =LZ L.;1

    =CZ.C

    ;

    ( )22

    L CZ R Z Z = +

    ( )= + L CZ R Z Z i = a + bi ( vi a=R; b = (ZL -ZC ) )

    -Nu ZL >ZC : onmch c tinh cm khng-Nu ZL =u

    i u i Z

    Z

    => =u

    Z

    i

    Ch : ( )= + L CZ R Z Z i ( tng trphcZ c gch trn u: R l phn thc, (ZL -ZC ) l phn o)b.Chn ci dt my tnh Fx-570ES:-Bm SHIFT 9 3 == : ci t ban u (Reset all)-Bm SHIFT MODE 1: hin th 1 dng (MthIO) Mn hnh xut hin Math.-Bm MODE 2 : Tnh ton s phc, trn mn hnh xut hin: CMPLX.

    -Bm SHIFTMODE 3 2 : Ci t dng to cc:( r)-Chn n vo gc l (D) , bm : SHIFT MODE3 trn mn hnh hin th chD(-Chn n vo gc l Rad (R), bm: SHIFT MODE4trn mn hnh hin th chR )

    -Bm SHIFT (-) : nhp k hiu gc ca s phc-Chuyn ta + bi sang A , bm SHIFT 2 3 =(-Chuyn t Asang a + bi , bm SHIFT 2 4 = )-Dng phm ENG nhp phn o ib.Lu Ch hin th kt qu trn mn hnh:Sau khi nhp, n du = c th hin th kt qu di dng sv t,mun kt qu di dng thp phn ta n SHIFT =( hoc dng phm SD ) chuyn i kt quHin th.

    Phm ENG nhp phn o i

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    c. Cc V d 1:

    V d 1: Mt mch in xoay chiu RLC khng phn nhnh c R = 100 ; C= 41

    10. F

    ; L=2

    H. Cng

    dng in qua mch c dng: i = 2 2 cos100 t(A). Vit biu thc in p tc thi ca hai u mch?

    Gii:2

    100 200LZ L.

    = = = ;4

    1 1

    10100

    CZ.C

    .

    = = = 100 . V ZL-ZC =100

    -Vi my FX570ES : Bm chn MODE 2 trn mn hnh xut hin ch: CMPLX.-Bm SHIFTMODE 3 2 : Ci t dng to cc:( r)-Chn n vo gc l (D), bm: SHIFT MODE3 trn mn hnh hin th chD

    Ta c : iZZRXIZiu CLi )((... 0 +== 2 2 0 100 100= +> X ( i ) ( PhpNHN hai s phc)Nhp my: 2 2 SHIFT (-) 0 X ( 100 + 100 ENG i ) = Hin th: 40045

    Vy biu thc tc thi in p ca hai u mch: u = 400cos( 100t +/4) (V).

    V d 2: Cho on mch xoay chiu c R=40 , L=

    1(H), C=

    6.0

    10 4(F), mc ni tip in p 2 u mch

    u=100 2 cos100 t (V), Cng dng in qua mch l:

    A. i=2,5cos(100 t+ )( )4

    A B. i=2,5cos(100 t- )( )4

    A

    C. i=2cos(100 t- )( )4

    A

    C. i=2cos(100 t+ )( )4

    A

    Gii:1

    100 100= = = LZ L.

    ; 41 1

    10100

    0 6

    = =CZ

    .C.

    ,

    = 60 . V ZL-ZC =40

    -Vi my FX570ES : Bm chn MODE 2 trn mn hnh xut hin ch: CMPLX.

    -Bm SHIFTMODE 3 2 : Ci t dng to cc:( r)-Chn n vo gc l (D), bm: SHIFT MODE3 trn mn hnh hin th chD

    Ta c : i0

    ( ( )

    = =

    +

    u

    L C

    Uu

    R Z Z iZ

    100 2 0

    40 40

    =

    +.

    ( i ) ( PhpCHIAhai s phc)

    Nhp 100 2 SHIFT (-) 0 : ( 40 + 40 ENG i ) = Hin th: 2,5-45Vy : Biu thc tc thi cng dng in qua mch l: i = 2,5cos(100t -/4) (A). Chn BV d 3: Mt on mch in gm in trR = 50 mc ni tip vi cun thun cm L = 0,5/ (H). t

    vo hai u on mch mt in p xoay chiu u = 100 2 cos(100t- /4) (V). Biu thc ca cng dng in qua on mch l:

    A. i = 2cos(100t - /2) (A). B. i = 2 2 cos(100t - /4) (A).

    C. i = 2 2 cos100t (A). D. i = 2cos100t (A).

    Gii:0 5100 50= = = L,

    Z L.

    ; . V ZL-ZC =50 - 0 = 50

    -Vi my FX570ES : Bm chn MODE 2 trn mn hnh xut hin ch: CMPLX.

    -Bm SHIFTMODE 3 2 : Ci t dng to cc:( r)-Chn n vo gc l (D), bm: SHIFT MODE3 trn mn hnh hin th chD

    Ta c : i0

    ( )

    = =

    +

    u

    L

    Uu

    R Z iZ

    100 2 45

    50 50

    =

    +.

    ( i ) ( PhpCHIAhai s phc)

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    Nhp 100 2 SHIFT (-) - 45 : ( 50 + 50 ENG i ) = Hin th: 2- 90Vy : Biu thc tc thi cng dng in qua mch l: i = 2cos( 100t - /2) (A). Chn BV d 4 (H 2009): Khi t hiu in th khng i 30V vo hai u on mch gm in trthun mcni tip vi cun cm thun c t cm L = 1/4 (H) th cng dng in 1 chiu trong mch l 1A.

    Nu t vo hai u on mch ny in p u =150 2 cos120t(V) th biu thc cng dng introng mch l:

    A. 5 2cos(120 )( )4= i t A

    B. 5cos(120 )( )4= +i t A

    C. 5 2cos(120 )( )4= +i t A

    D. 5cos(120 )( )4= i t A

    Gii: Khi t hiu in th khng i (hiu in th 1 chiu) th on mch ch cn c R: R = U/I =30

    1120 30

    4= = =

    LZ L.

    ; i =

    u 150 2 0

    (30 30i)Z

    =

    + ( PhpCHIAhai s phc)

    -Vi my FX570ES : -Bm chn MODE 2 trn mn hnh xut hin ch: CMPLX.

    -Bm SHIFTMODE 3 2 : Ci t dng to cc:( r)-Chn n vo gc l (D), bm: SHIFT MODE3 trn mn hnh hin thD

    Nhp my: 150 2 : ( 30 + 30 ENG i ) = Hin th: 5- 45Vy: Biu thc tc thi cng dng in qua mch l:: i = 5cos( 100t - /4) (A). Chn D

    3. Trc nghim vn dng:

    Cu 1: Cho mch in xoay chiu c R=30 , L=

    1(H), C=

    7.0

    10 4(F); hiu in th hai u mch l

    u=120 2 cos100 t (V), th cng dng in trong mch l

    A. 4cos(100 )( )4

    i t A

    = + B. 4cos(100 )( )4

    i t A

    =

    C. 2cos(100 )( )4

    i t A

    = D. 2cos(100 )( )4

    i t A

    = +

    Cu 2: Hy xc nh p n ng .Mt on mch in xoay chiu gm: R = 100 ;cun dy thun cm

    L =

    1

    H; t din c in dung 15,9F , mc vo in p xoay chiu u = 200 2 cos(100t)(V) .Biu thccng dng in l:

    A. i = 2cos(100t -4

    )(A). B. i = 0,5 2 cos(100t +

    4

    )(A) .

    C. i = 2 cos (100t +4

    )(A). D. i =

    3

    2

    5

    1cos (100t +

    4

    )(A) .

    Cu 3: Cho on mach xoay chiu gm R, L mc ni tip.0.2

    20 ,R L H

    = = . on mch c mc vo

    in p 40 2 cos100 ( )u t V= . Biu thc cng dng in qua mch l:

    A. 2cos(100 )( )4

    i t A= B. 2cos(100 )( )4

    i t A= +

    C. 2 cos(100 )( )2

    i t A

    = D. 2 cos(100 )( )2

    i t A

    = +

    Cu 4: Mt mch gm cun dy thun cm c cm khng bng 10 mc ni tip vi tin c in

    dung 42

    .10C F

    = . Dng in qua mch c biu thc 2 2 cos(100 )3

    i t A

    = + . Biu thc in p ca hai

    u on mch l:

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    A. 80 2 cos(100 )6

    u t

    = (V) B. 80 2 cos(100 )6

    u t

    = + (V)

    C. 120 2 cos(100 )6

    u t

    = (V) D.2

    80 2 cos(100 )3

    u t

    = + (V)

    IV. XC NH HP EN TRONG MCH IN XOAY CHIU DNG MY TNH FX-570ES( RT NHANH V HIU QU CHO TRC NGHIM)

    1.Chn ci dt my tnh Fx-570ES:-Bm SHIFT 9 3 == : ci t ban u (Reset all)-Bm SHIFT MODE 1: hin th 1 dng (MthIO) Mn hnh xut hin Math.-Bm MODE 2 : Tnh ton s phc, trn mn hnh xut hin ch: CMPLX.

    (-Bm SHIFTMODE 3 2 : Ci t dng to cc: r )-Bm SHIFT MODE 3 1 : Ci t dng to cc: (a + bi).-Chn n vo gc l (D) , bm my : SHIFT MODE3 trn mn hnh hin th chD-Chn n vo gc l Rad (R), bm my: SHIFTMODE4trn mn hnh hin th chR-Bm SHIFT (-) : nhp k hiu gc ca s phc-Chuyn t dng a + bisang dng A , bm SHIFT 2 3 =-Chuyn t dng Asang dng a + bi, bm SHIFT 2 4 =

    2.Xc nh cc thng s( Z, R, ZL, ZC) bng my tnh:

    -Tnh Z: =u

    Zi

    0

    0( )

    =

    u

    i

    U

    I

    Nhp my: U0 SHIFT (-) u : ( I0 SHIFT (-) i ) = ( PhpCHIAhai s phc)

    -Vi tng trphc : ( )= + L CZ R Z Z i , ngha l c dng (a + bi). vi a=R; b = (ZL -ZC )-Chuyn t dng Asang dng : a + bi: bm SHIFT 2 4 =3.Cc V d:V d 1:Mt hp kn (en) ch cha hai trong ba phn t R, L, C mc ni tip. Nu t vo hai u mch

    mt in p xoay chiu u= 100 2 cos(100t+4 )(V) th cng dng in qua hp en l

    i= 2cos(100t)(A) . on mch cha nhng phn t no? Gii tr ca cc i lng ?Gii: +Vi my FX570ES: Bm chn MODE 2 trn mn hnh xut hin ch: CMPLX.-Chn n vo gc l (D), bm : SHIFT MODE3 trn mn hnh hin th chD

    -Bm SHIFT MODE 3 1 : Ci t dng to cc: (a + bi).100 2 45

    (2 0)

    = =

    uZ

    iNhp: 100 2 SHIFT (-) 45 : ( 2 SHIFT (-) 0 ) = Hin th: 50+50i

    M ( )= + L CZ R Z Z i .Suy ra: R =50; ZL= 50 . Vy hp kn (en) cha hai phn t R, L.

    V d 2:Mt hp kn (en) ch cha hai trong ba phn t R, L, C mc ni tip. Nu t vo hai u mchmt in p xoay chiu u= 200 2 cos(100t-

    4

    )(V) th cng dng in qua hp en l

    i= 2cos(100t)(A) . on mch cha nhng phn t no? Gii tr ca cc i lng ?Gii: +Vi my FX570ES : Bm chn MODE 2 trn mn hnh xut hin ch: CMPLX.-Chn n vo gc l (D), bm : SHIFT MODE3 trn mn hnh hin th chD

    -Bm SHIFT MODE 3 1 : Ci t dng to cc: (a + bi).

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    GV:on Vn Lng -T: 0915718188 - 0906848238 15

    GV:

    on Vn L

    ng- Email: [email protected] ; [email protected] Trang 15

    200 2 45

    (2 0)

    = =

    uZ

    i: Nhp 200 2 SHIFT (-) -45 : ( 2 SHIFT (-) 0 ) = Hin th: 100-100i

    M ( )= + L CZ R Z Z i . Suy ra: R =100; ZC = 100 . Vy hp kn (en) cha hai phn t R, C.

    V d 3:Mt hp kn (en) ch cha hai trong ba phn t R, L, C mc ni tip. Nu t vo hai u mch

    mt in p xoay chiu u= 20 6 cos(100t-

    3

    )(V) th cng dng in qua hp en l

    i= 2 2 cos(100t)(A) . on mch cha nhng phn t no? Gii tr ca cc i lng ?Gii: +Vi my FX570ES: Bm chn MODE 2 trn mn hnh xut hin ch: CMPLX.

    -Chn n vo gc l (D), bm : SHIFT MODE3 trn mn hnh hin th chD

    -Bm SHIFT MODE 3 1 : Ci t dng to cc: (a + bi).20 6 60

    (2 2 0)

    = =

    uZ

    i: Nhp 20 6 SHIFT (-) -60 : ( 2 2 SHIFT (-) 0 ) = Hin th: 5 3 -15i

    M ( )= + L CZ R Z Z i .Suy ra: R =5 3 ; ZC = 15 . Vy hp kn (en) cha hai phn t R, C.

    V d 4:Mt hp kn (en) ch cha hai trong ba phn t R, L, C mc ni tip. Nu t vo hai u mch

    mt in p xoay chiu u= 200 6 cos(100t+ 6 )(V) th cng dng in qua hp en l

    i= 2 2 cos(100t-6

    )(A) . on mch cha nhng phn t no? Gii tr ca cc i lng ?

    Gii: +Vi my FX570ES : Bm chn MODE 2 trn mn hnh xut hin ch: CMPLX.-Chn n vo gc l (D), bm : SHIFT MODE3 trn mn hnh hin th chD

    -Bm SHIFT MODE 3 1 : Ci t dng to cc: (a + bi).200 6 30

    (2 2 30)

    = =

    uZ

    i: Nhp 200 6 SHIFT (-) 30 : ( 2 2 SHIFT (-) (-30) =

    Hin th: 86,6+150i =50 3 +150i .Suy ra: R =50 3 ; ZL= 150. Vy hp kn cha hai phn t R, L.

    V d 5:Mt hp kn (en) ch cha hai trong ba phn t R, L, C mc ni tip. Nu t vo hai u mch

    mt in p xoay chiu u= 200 2 cos(100t+4

    )(V) th cng dng in qua hp en l

    i= 2cos(100t)(A) . on mch cha nhng phn t no? Gii tr ca cc i lng ?Gii: +Vi my FX570ES : Bm chn MODE 2 trn mn hnh xut hin ch: CMPLX.

    -Chn n vo gc l (D), bm : SHIFT MODE3 trn mn hnh hin th chD

    -Bm SHIFT MODE 3 1 : Ci t dng to cc: (a + bi).200 2 45

    (2 0)

    = =

    uZ

    i: Nhp 200 2 SHIFT (-) 45 : ( 2 SHIFT (-) 0 =

    Hin th: 141.42...45 .bm SHIFT 2 4 = Hin th: 100+100i Hay: R =100; ZL= 100.Vy hp kn cha hai phn t R, L.4.Trc nghim:Cu 1: Cho on mch gm hai phn t X, Y mc ni tip. Trong X, Y c th l R, L hoc C. Cho bit hiu in

    th gia hai u on mch l u = 200 2 cos100 t(V) v i = 2 2 cos(100 t - /6)(A). Cho bit X, Y l nhngphn t no v tnh gi tr ca cc phn t?

    A. R = 50 v L = 1/ H. B. R = 50 v C = 100/ F.

    C. R = 50 3 v L = 1/2 H. D. R = 50 3 v L = 1/ H.

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    Cu 2: Cun dy thun cm c h s t cm L = 636mH mc ni tip vi on mch X, on mch X cha 2 trong 3

    phn t R0, L0 , C0 mc ni tip. t vo hai u on mch hiu in th u = 120 2 cos100 t(V) th cng

    dng in qua cun dyl i = 0,6 2 cos(100 t - /6)(A). Xc nh 2 trong 3 phn t?A. R0 = 173 v L0 = 31,8mH. B. R0 = 173 v C0 = 31,8mF.C. R0 = 17,3 v C0 = 31,8mF. D. R0 = 173 v C0 = 31,8 F.

    Cu 3: Cho on mch in xoay chiu gm 2 phn t mc ni tip. Hiu in th gia hai u on mch v cng

    dng in trong mch c biu thc: u = 100 2 cos(100 t - /2)(V) v i = 10 2 cos(100 t - /4)(A).

    A. Hai phn t l R v L. B. Hai phn t l R v C.C. Hai phn t L v C. D. Tng trca mch l 10 2

    Cu 4: Cho mt on mch xoay chiu gm hai phn t mc ni tip. in p gia hai u mch v cng dng in qua mch c biu thc: u = 200cos(100t- /2)(V), i = 5cos(100t - /3)(A). Chn p nng?

    A. on mch c 2 phn t RL, tng tr40 . B. on mch c 2 phn t LC, tng tr40 .

    C. on mch c 2 phn t RC, tng tr40 . D. on mch c 2 phn t RL, tng tr20 2 .Cu 5: Cho mt hp en X trong c cha 2 trong 3 phn t R, L, hoc C mc ni tp. Mc hp en ni tip vimt cun dy thun cm c L0 = 318mH. t vo hai u on mch in mt hiu in th xoay chiu c biu thc

    u = 200 2 .cos(100 t- /3)(V) th dng in chy trong mch c biu thc i = 4 2 .cos(100 t - /3)(A). Xc

    nh phn t trong hp X v tnh gi tr ca cc phn t?A. R = 50 ; C= 31,8 F. B. R = 100 ; L= 31,8mH.

    C. R = 50 ; L= 3,18 H. D. R = 50 ; C= 318 F.

    Cu 6: Mt on mch xoay chiu gm 2 trong 3 phn t R, L hoc C mc ni tip . Biu thc hiu in th 2 u

    mch v cng dng in qua mch l 80cos 100 ( )2

    u t V

    = +

    v 8cos(100 )( )4

    i t A

    = + . Cc phn t

    trong mch v tng trca mch lA. R v L , Z = 10 . B. R v L , Z = 15 . C. R v C , Z =10 . D. L v C , Z= 20 .

    Cu 7: Mch in ni tip R, L, C trong cun dy thun cm (ZL < ZC). t vo hai u on

    mch mt in p xoay chiu 200 2 cos(100t+ /4)(V). Khi R = 50 cng sut mch t gitr cc i. Biu thc dng in qua mch lc :

    A. i = 4cos(100t+ /2) (A) B. i = 4cos(100t+/4) (A)

    C. i = 4 2 cos(100t + /4)(A) D. i =42 cos(100t) (A)Gi : Khi R = 50 cng sut mch t gi tr cc i. suy ra R=/ZL-ZC/ = 50 .

    Mt khc ZC > ZL nn trong s phc ta c: ZL + ZC = -50i. Suy ra:u 200 2 ( : 4)

    i 450 50i 2Z

    = = =

    Chn A

    V. KH NNG VN DNG:-Dng my tnh CASIO fx-570ES hoc CASIO fx570ES Plus nhm rn luyn cho HC SINHthao tc nhanh, chnh xc v rt hiu qumt s bi tp TRC NGHIM VT L 12.

    Cc em HS thdng CNG CMY TNH CASIO fx570ES & Fx- 570ES Plus !!!GII NHANH mt s bi tp TRC NGHIM VT L 12.Nguyn tc thnh cng: Suy nghtch c c; Cm nhn am m; Hot ng kin tr !Chc cc em HC SINH thnh cng trong hc tp!

    Ngi su tm v chnh l: GV: on Vn LngEmail: [email protected] ;[email protected]; [email protected];in Thoi: 0915718188 0906848238