Question

A capacitor with initial charge q0 is discharged through a resistor. What multiple of the time constant ? gives the time the capacitor takes to lose (a) the first 1/8-th of its charge and (b)7/8-th of its charge? (a) Number Units (b) Number Units

Name: A capacitor with initial charge q0 is discharged through a resistor. What multiple of the time constant ? gives the time the capacitor takes to lose (a) the first 1/8-th of its charge and (b)7/8-th of its charge? (a) Number Units (b) Number Units
Uploaded: 2022-03-19T12:37:22-08:00
Duration: 3 min 24 s
Channel: Saikat Chatterjee
Description: A capacitor with initial charge q0 is discharged through a resistor. What multiple of the time constant ? gives the time the capacitor takes to lose (a) the first 1/8-th of its charge and (b)7/8-th of its charge? (a) Number Units (b) Number Units

          A capacitor with initial charge q0 is discharged through a resistor. What multiple of the time constant ? gives the time the capacitor takes to lose (a) the first 1/8-th of its charge and (b)7/8-th of its charge? (a) Number Units (b) Number Units

A capacitor with initial charge q0 is discharged through a resistor. What multiple of the time constant ? gives the time the capacitor takes to lose (a) the first 1/8-th of its charge and (b)7/8-th of its charge? (a) Number Units (b) Number Units

Added by Encarnacion S.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Saikat Chatterjee

03/19/2022

Step 1

Given: Initial charge, Q0 Remaining charge after losing 1/8th = 7/8 * Q0 The time constant is denoted by τ. The equation for the charge on the capacitor discharging through a resistor is given by: Q(t) = Q0 * e^(-t/τ) For the first case, when the capacitor Show more…

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A capacitor with initial charge q0 is discharged through a resistor. What multiple of the time constant gives the time the capacitor takes to lose (a) the first 1/8-th of its charge and (b) 7/8-th of its charge? (a) Number Units (b) Number Units