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## Homework Statement

## Homework Equations

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Tao = R(th) C

## The Attempt at a Solution

The unknown DC circuit model consists of a V(th) and R(th)

Tao = (R(th) + 3000) C , total resistance of circuit is R(th) + 3000

0.004 = (R(th) + 3000) (1x10^-6)

R(th) = 1 kOhm

The V(th) should oppose the known source since i(t) goes to 0.

Doing a KVL around the loop clockwise.

-10V + 3000( I ) + I (1000) + V(th) = 0, Voltage across capacitor is 0 since at t=0 it is like steady state.

also, at t=0, I = 0.001 A

then solving gives V(th) = 6V

I get the hunch that the working is wrong but the answer is right by coincidence. Would the working be correct?

Thank you very much.

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