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Circuit analysis problems

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Solution Summary

The problems have been solved using Kirchhoff's laws.

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SOLUTION

VS(mV)
Problem 1 4
IL
3

+ 2
VS L = 5mH
- 1

0 1 2 3 t(μs)
-1

IL(μA)

1 2 3 t(μs)

-1
-1.2
-1.6

-2

Voltage VS = L dIL/dt
t
Or IL =1/L ∫VS dt + IL(0) where IL(0) is the initial current at t=0 ......(1)
0
We can determine the inductor current for different time periods using (1).

Time period t=0 to t=1 μs

For this period initial current is IL(0) = -2 μA

1μs
IL =1/L ∫VS dt + IL(0) = 1/(5x10-3) x 4x10-3 x 1 x 10-6 - 2 x 10-6 = -1.2 x ...

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