The switch is closed before time 0 It opens at time 0 Calc

The switch is closed before time = 0, It opens at time = 0 Calculate the initial value of the capacitor voltage, V_1(0). Calculate the steady- state(final) value of the capacitor voltage for t > 0(time grater than 5x time constant). Calculate the time constant for the circuit for t > 0

Solution

a) Switch is connected for the long time:- then the capacitor behaves as an open circuit.

Voltage across capacitor terminal is=2 ohm*8 A=16V

b) Steady State value of capacitor voltage is zero as initially capacitor is charged for 16V

c) Time constant

tau=Req*C=(6+2)4=32 s