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Recall from an earlier lecture that the relationship between the current through an inductor and the voltage across it is given by What is the current through a 10 mH inductor if 1 V is applied across it for exactly 20 ms? Assume that initially there is no current through the inductor. Show your calculations in your engineering notebook.

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temdan2001

Answer: Current = 2A

Explanation:

Inductor L = 10mH

E.m.f = 1 V

Time t = 20 ms

Using

V = Ldi/dt

di/dt = V/ L

di/dt = 1/10×10^-3

di/dt = 100

di = 100dt

Integrate both sides

I = 100(t1 - to)

Assume that initially there is no current through the inductor.

to = 0

I = 100 × t

I = 100 × 20×10^-3

I = 2A

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