three identical resistors, a capacitor, two switches and a potential source. In
ID: 1284524 • Letter: T
Question
three identical resistors, a capacitor, two switches and a potential source. In your initial configuration, switch one, S1, is closed, while switch two, S2, is open. You wait a bit and at time t = RC, you open S1 and close S2. How much energy is dissipated by the rightmost resistor (the resistor closest to S2)?
three identical resistors, a capacitor, two switches and a potential source. In your initial configuration, switch one, S1, is closed, while switch two, S2, is open. You wait a bit and at time t = RC, you open S1 and close S2. How much energy is dissipated by the rightmost resistor (the resistor closest to S2)?Explanation / Answer
time constant for the left circuit(when S2 is closed) = (R+R)*C = 2RC
so potential on C after time RC = V*(e-t/2RC) = V*(e-RC/2RC)
= V*(e-1/2)
= .6065V
so power stored in capacitor = .5*C*V2 = power dissipated by rightmost R
= .5*C*.3678*V2
= .184CV2 Watt
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