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output of a stead state circuit

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Please answer #4 only. See attached file for full problem description.

Problem 10.4

In the following circuit, the voltage source is turned on at t =0.
The current flowing in the inductor is given by

a) find the coefficients A and B.
b) Find L, R< and v0.

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Output of the circuit is found. The solution is detailed and was rated '5/5' by the student who posted the question originally.

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Please see the attached file.

(a) when t = 0, the current in the inductor is 0, so
(1)
The voltage of the inductor is 0 when t = 0 as well. So
(2)
Substitute B to (1)
...

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