A 1.0 F capacitor is being charged by a 8.0 Vbattery through a 10 M resistor. Pa
ID: 1591444 • Letter: A
Question
A 1.0 F capacitor is being charged by a 8.0 Vbattery through a 10 M resistor.
Part A
Determine the potential across the capacitor at time t=1.0s.
Express your answer in volts to two significant figures.
9.09
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Incorrect; Try Again
Part B
Determine the potential across the capacitor at time t=5.0s.
Express your answer in volts to two significant figures.
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Part C
Determine the potential across the capacitor at time t=20s.
Express your answer in volts to two significant figures.
A 1.0 F capacitor is being charged by a 8.0 Vbattery through a 10 M resistor.
Part A
Determine the potential across the capacitor at time t=1.0s.
Express your answer in volts to two significant figures.
V =9.09
VSubmitMy AnswersGive Up
Incorrect; Try Again
Part B
Determine the potential across the capacitor at time t=5.0s.
Express your answer in volts to two significant figures.
V = VSubmitMy AnswersGive Up
Part C
Determine the potential across the capacitor at time t=20s.
Express your answer in volts to two significant figures.
V = VExplanation / Answer
Voltage across a Capacitor while charging is given by the equation,
V = Vo * (1 - e^(-t/RC))
Where,
V0 = 8.0 Volt
RC = 10 * 10^6 * 1 * 10^-6 = 10
(a)
At t = 1.0 s
V = 8.0 * (1 - e^(-1.0/10))
V = 0.76 Volt
(b)
At t = 5.0 s
V = 8.0 * (1 - e^(-5.0/10))
V = 3.15 Volt
(c)
At t = 20.0 s
V = 8.0 * (1 - e^(-20.0/10))
V = 6.92 Volt
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