1. In the circuit of Figure 1, the switch has been open for a long enough...

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1. In the circuit of Figure 1, the switch has been open for a long enough time and is closed at t = 0. Find i(t), i.e. the current through the 4-2 resistor, for t> 0. (25 points) Hint: (1) Since the switch has been open for a long time when t < 0, energy stored in the capacitor should have been completely consumed by the RC circuit. Therefore, the initial voltage of the capacitor is zero. (2) i(t) = v(t)/4; the 4-2 resistor and the capacitor have the same voltage. 10 V (+) 60 t=0 Hors 4 Ω Figure 1 i(t) + 0.5 F v(t) 1. In the circuit of Figure 1, the switch has been open for a long enough time and is closed at t = 0. Find i(t), i.e. the current through the 4-2 resistor, for t> 0. (25 points) Hint: (1) Since the switch has been open for a long time when t < 0, energy stored in the capacitor should have been completely consumed by the RC circuit. Therefore, the initial voltage of the capacitor is zero. (2) i(t) = v(t)/4; the 4-2 resistor and the capacitor have the same voltage. 10 V (+) 60 t=0 Hors 4 Ω Figure 1 i(t) + 0.5 F v(t)

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Steps to solve 1 Initial capacitor voltage Since the switch has been open for a long time t 0the cap... View the full answer