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Physics
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2 - 2012
: . , MSc http://perifysikhs.wordpress.com
.
.1. - L C,
.
.
.
.
. 41, 4%
. 41, 4%
.2. L C - :
.
.
.
.
.3. L C .
.
.
.
.
1
2012 - 2013 2
.4. L C .
.
.
.
.
.5. L C,
.
.
.
.
.
.
.
.6. LC . ,
. , .
. .
. , .
. -
. -.
. 2 http://perifysikhs.wordpress.com
2012 - 2013 2
.7. L C - . :
.
.
.
.8. L C , t = 0 .
. T = 2
L
C
. =1LC
. f = 2LC
. T = 2LC
.9. L C t = 0 . ;
. q = Q(t+
2)
. i = I(t)
. I = 2fQ, f
. q =Q
2, i = Q
2
3
LC
. 3 http://perifysikhs.wordpress.com
2012 - 2013 2
.10. t = 0 . ;
. t = 0 .
. .
. .
. .
.11. L C . t = 0 . .
. Q
: I =Q
2LC
. t = 0 .
. UE UB
: UB + UE =L
2I2
. 4 .
. .
.12. L C . . :
.T
8.T
4.
3T
8.
3T
4
. 4 http://perifysikhs.wordpress.com
2012 - 2013 2
.
.1. LC . - : i =
Q2 q2
.2. L C , T . t = 0 -
. , t1 = t0 +3T
4,
:
.
.
.
.
.3. qt , 0 t0 , LC. L2 = 4L1. :
. C2 =C
9
. C2 =C
4
. C2 =C
3
.
. 5 http://perifysikhs.wordpress.com
2012 - 2013 2
.4. , . - . - , . , :
.4E
9
.2E
3
.9E
4
.
.5. , , - . , :
. .
. , .
. , .
.
. 6 http://perifysikhs.wordpress.com
2012 - 2013 2
.6. LC (1) C L , L C (2) , 4L. (1) V (2) 2V
. E2E1
:
. 1
. 2
. 4
.
.7. , C = C1 + C2 q = q1 + q2 ( ). , C2 = 3C1,
i = I(t), . t1 =T
3,
.
(:ylikonet.gr)
. -:
)T1 = T , ) T1 =T
2, )T1 =
T
3.
.
. :
) E1 = E, ) E1 =9
16E, ) E1 =
7
16E, ) E1 =
4
16E
.
. 7 http://perifysikhs.wordpress.com
2012 - 2013 2
.
.1. C , - L , . Q = 100C , - . t q = 60C . i = 80mA . :
. .
. t.
. t.
.2. C . , L = 0, 4H, . t = 0 , . q = 0, 4(1000t)C .
. .
. .
. 0, 2103A.
.3. C = 40C, - L = 4mH , . V = 100volt , -.
. .
. .
. .
. () .
. 8 http://perifysikhs.wordpress.com
2012 - 2013 2
.4. L = 4mH , C = 160F . , . t = 0 , . E = 2 105J . :
. .
. .
. t1 , .
. t1.
.5. : E =5V , C = 8 106F , L = 2 102H. 1 2
( - 2010)
. Q .
1 =0 2. LC .
. .
. .
. - .
. 9 http://perifysikhs.wordpress.com
2012 - 2013 2
.5. E = 100V olt. - UEmax = 5 103J . :
.
- L = 10mH, . :
.
. i1 = 0, 5
3A.
. - .
.
.1. E =20volt r = 1, R = 9 , C = 10F - L = 16mH. (1) . t = 0 , (2) , L C .
. (1).
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2012 - 2013 2
.
. .. .
. .
.2. , (1) C1 = 16F E = 50volt, . L = 10mH , (2), C2 = 4F , .
1) (1) L C1 .
. L C1.
. t1 = 3 104s , L C1 .
2) (2) . L C2 . - t = 0 :
. (2) , , .
. 11 http://perifysikhs.wordpress.com
2012 - 2013 2
. L C2 , (2).
.3. , C = 20F E = 10volt, . L1 = 8mH L2 = 2mH .
1) (1) L1 C .
. , , (S.I.). L1 C
.
t1 =16
3 104s
2) t1 (2), .
. t = 0 , - . E2 L C2
.
L2 , t2 =5
4 104s .
.4. E = 50volt - r = 1, R1 = 4 R2 = 5, C = 10F - L = 4mH . (1) .
t = 0 (2), , L C
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2012 - 2013 2
.
. , , .
. , , -.
. , .
. .
.5. : C1 = 104F,C2 = 4 104F
L = 1H. (1), (2) Q1 = 10
2C Q2 =
2102C .
(:ylikonet.gr)
. .
. t = 0 (1) (2) . , .
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2012 - 2013 2
. t1 = 1, 75 102s (1) (2), . C1 i2 = f(t) q2 = f(t), t1. t = 0 (1) (2).
. t = 0 ( )
.6. , C1 =4F , C2 = 1F , L = 0, 09H. , 1 V = 30V . t0 = 0 2.
(:ylikonet.gr)
. t1 = 5 104s, :
. .
. .. .
. t1, , 2 3.
. 3, .
. i = f(t) t0, t2 = 11 104s.
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