# Circuit analysis problems

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See attached file for full problem description.

Â© BrainMass Inc. brainmass.com December 24, 2021, 5:52 pm ad1c9bdddfhttps://brainmass.com/physics/ohms-law/problems-resistive-inductive-capacitive-circuits-77011

#### Solution Preview

Please see the attached file.

SOLUTION

VS(mV)

Problem 1 4

IL

3

+ 2

VS L = 5mH

- 1

0 1 2 3 t(Î¼s)

-1

IL(Î¼A)

1 2 3 t(Î¼s)

-1

-1.2

-1.6

-2

Voltage VS = L dIL/dt

t

Or IL =1/L âˆ«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 Î¼s

For this period initial current is IL(0) = -2 Î¼A

1Î¼s

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

#### Solution Summary

The problems have been solved using Kirchhoff's laws.

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