Suppose an RC series circuit with a capacitor of 5μF, a resistor of 80k, and an initial voltage difference across the capacitor of 6V. (a) Find the time constant of this RC circuit. (b) How long does it take the capacitor to lose half its initial charge?

Suppose an RC series circuit with a capacitor of 5μF, a resistor of 80k, and an initial voltage difference across the capacitor of 6V. (a) Find the time constant of this RC circuit. (b) How long does it take the capacitor to lose half its initial charge?

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter21: Resistive-capacitive Series Circuits

Section: Chapter Questions

Problem 6RQ: A 15-F AC capacitor is connected in series with a 50 resistor. The capacitor has a voltage rating...

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Question

elec

Suppose an RC series circuit with a capacitor of 5µF, a resistor of 80k, and an initial voltage difference
across the capacitor of 6V.
(a) Find the time constant of this RC circuit.
(b) How long does it take the capacitor to lose half its initial charge?

Expert Solution

Step 1

The capacitor has voltage across it that means it is full charged and it will discharge through the resistor slowly

(a)

The time constant in RC circuit for discharging capacitor explains the amount of time needed to discharge the capacitor from maximum value to about 37% of that value.

In RC circuits, the multiplication of resistance and the capacitance value is known as time constant.

Hence,

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