Part 1 Suppose you had a simple RC circuit (like that in Figure 3) with a 1000 r

Question

Part 1

Suppose you had a simple RC circuit (like that in Figure 3) with a 1000 resistor, a 2.0 mF capacitor, and a 10 V power supply. Charging from an initial uncharged state, what is the voltage on the capacitor after 5.0 s have elapsed? What is the voltage on the capacitor after one time constant has elapsed?

Part 2

Suppose you had a simple RC circuit (like that in Figure 3) with a 1000 resistor, a 2.0 mF capacitor, and a 10 V power supply. Discharging from an initial maximally charged state, what is the voltage on the capacitor after 5.0 s have elapsed? What is the voltage on the capacitor after one time constant has elapsed?

Explanation / Answer

Part 1:

R =1000 ohms, C = 2 mF, Vo =10 V

For charging RC circuit

V = Vo (1-e^-t/RC)

V = 10(1-e^-5/(1000*2*0.001)

V = 9.18 V

After one time cosntant

V = 10(1-1/e)

V =6.3 V

Part 2:

For discarging RC circuit

V = Vo (e^-t/RC)

V = 10(e^-5/(1000*2*0.001)

V = 0.82 V

After one time cosntant

V = 10(1/e)

V = 3.68 V

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