Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

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

SubmitMy 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.

SubmitMy AnswersGive Up

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

  V  

SubmitMy 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 =   V  

SubmitMy AnswersGive Up

Part C

Determine the potential across the capacitor at time t=20s.

Express your answer in volts to two significant figures.

V =   V  

Explanation / 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