1) A capacitor (C = 50.2 F), a resistor ( R = 22.2 ), a battery ( V = 750 V) and

Question

1) A capacitor (C = 50.2 F), a resistor (R = 22.2 ), a battery (V = 750 V) and a switch are connected in series. If the switch is closed at t = 0, find the energy stored in the capacitor after 0.23 ms, in mJ.

2) A capacitor (C = 18.7 F), a resistor (R = 47.9 ), a battery (V = 846 V) and a switch are connected in series. If the switch is closed at t = 0: find the potential difference across the resistor after 0.893 ms, in V.

3) A coil (L = 82 mH), a resistor (R = 23.1 ) and an A.C. source (621 V, 72.5 Hz) are connected in series. Find the rms potential difference across the coil, in V.

Explanation / Answer

1) V = V0 [1 - e^(-t/T)]

T = RC = 22.2 x 50.2 x 10^-6 = 1.11 x 10^-3

t/T = 0.2064

V = 750[1 - e^(-0.2064)]

V = 140 Volt

U = C V^2 /2 = (50.2 x 10^-6)(140^2) / 2

U = 0.491 J = 491 mJ

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