4, A 20uF capaci is to 12 and then discharged through a 4.0M n istor. How long w

Question

4, A 20uF capaci is to 12 and then discharged through a 4.0M n istor. How long will it take for tor to drop to 3.0V? answer the voltage across the capacitor Restate Summarize outline yoursolution 5. A 6.0uF capacitor is charged to 15V and then discharged through a 1.0Mn resistor. When will the power used by the resistor be its maximum value? answer Restate your solution ne your 6. A 12.0muF capacitor is charged to 25v and then discharged through a 500kn resistor. When will the current be 1/2 of its maximum value? Restate your answer Summarize/outline your solution

Explanation / Answer

maximum value of power = v^2 / r

maximum value of power = 15^2 / (1 * 10^6)

maximum value of power = 0.000225 W

20% of maximum value = 0.2 * 0.000225

20% of maximum value = 4.5 * 10^-5 W

voltage at 20% power

V^2 / (1 * 10^6) = 4.5 * 10^-5

V = 6.708 V

when capacitor discharges

Vc = Vo * e^(-t/RC)

6.708 = 15 * e^(-t / (1 * 10^6 * 6 * 10^-6))

t = 4.8285 sec

power used by resistor will be 20% of its maximum value after 4.8285 sec

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