2
Opgave 6.101 R1 600 Ω R2 700 Ω L 2.1 H C 3 μF U 150 V f 50 Hz X c = ―――― 1 2 π fC 90 deg 1.061 10 3 ° 90 Ω X L = 2 π fL -90 deg ( ( 659.734 ° -90 ) ) Ω Z1 = + R1 X L ( ( 891.768 ° -47.715 ) ) Ω Z2 = + R2 X c 1.271 10 3 ° 56.586 Ω a b I R1 = ―― U Z1 ( ( + 0.113 0.124i ) ) A I R2 = ―― U Z2 ( ( - 0.065 0.098i ) ) A

El opgaver fra 6 - WordPress.com · aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

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Page 1: El opgaver fra 6 - WordPress.com · aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Opgave 6.101

≔R1 600 Ω ≔R2 700 Ω ≔L 2.1 H ≔C 3 μF ≔U 150 V ≔f 50 Hz

≔Xc =∠――――1

⋅⋅⋅2 π f C90 deg ⎛⎝ ∠⋅1.061 103 °90 ⎞⎠ Ω

≔XL =∠⋅⋅⋅2 π f L -90 deg (( ∠659.734 °-90 )) Ω

≔Z1 =+R1 XL (( ∠891.768 °-47.715 )) Ω

≔Z2 =+R2 Xc⎛⎝ ∠⋅1.271 103 °56.586 ⎞⎠ Ω

a b

≔IR1 =――UZ1

(( +0.113 0.124i)) A ≔IR2 =――UZ2

(( -0.065 0.098i)) A

Page 2: El opgaver fra 6 - WordPress.com · aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

≔Rt =⎛⎜⎝

++―1R

―1Z

―1Xc

⎞⎟⎠

-1

?