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Question:

Struggling with this inductor problem?

Current through an inductor is turned on at time t0, as shown in the figure. Vscos(200*pi*t). Calculate the energy delivered to the inductor at t21

Answer:

Since V L(di/dt) I (1/L)(∫(VI)dt) I (1/0.038)(1/200π)(sin (200πt)) 1/(7.6π)(sin (200πt)) and E ∫(VI)dt E (1/2)L(I?) 200πt f 100 Hz, T 10 milliseconds, 21 milliseconds 720° +36° at 21 milliseconds, sin (200πt)) sin 36° 0.588 I 0.588/(7.6π) 0.0246 amps E (1/2)(0.038)(0.0246^2) 11.5 u joules

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