A 0.25μF capacitor is charged to 50 V . It is then connected in series with a 55Ω resistor and a 150 Ω resistor and allowed to discharge completely.
How much energy is dissipated by the 55Ω resistor?
Given,
The capacitance, C = 0.25 F = 0.25 * 10-6 F
The Voltage, V = 50 V
We know,
Q = C * V
= 0.25 * 10-6 * 50
= 12.5 * 10-6
The energy, U = 1/2 * Q2 / C
= 0.5 * (12.5 * 10-6)2 / (0.25 * 10-6)
= 3.125 * 10-4 J
The energy dissipated by the 55 resistor is,
E = 3.125 * 10-4 * 55 / (55+ 150)
E = 8.38 * 10-5 J
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