P 8.6-18 The voltage source voltage in the circuit shown in Figure P 8.6-18 is

v_s(t) = 8 + 12u(t) V

Determine v(t) for t ≥ 0.

Figure P 8.6-18

Again let’s use source transformations to get to a Thevenin equivalent circuit. First combine the two parallel capacitors and we get

Transform the voltage supply and the 40 Ω resistor we get

Adding the two resistors 40 Ω and 160 Ω which are now in parallel

Transform the current source and the 32 Ω resistor

Finally our Thevenin circuit is found by adding two resistors in series and we have

So our Thevenin resistance is 50 Ω and at t = 0,

And after a long time in steady-state

So using standard form

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This page last updated on July 19, 2019