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Q. 38

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 792

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Short Answer

A capacitor is discharged through a resistor. The discharge current decreases to of its initial value in . What is the value of the capacitor?

The value of capacitor is .

See the step by step solution

Step by Step Solution

Step 1: Given Information 

We need to find the value of capacitor.

Step 2: Simplify   

When the switch is off, the capacitor-discharge, and the current flows through the resistor. To discharge the capacitor, the charges flow through the circuit in time . The initial current is related to the final charge by equation in the form

Where is the resistance and is the capacitance. The initial current is reduced to its value, so the final current is

After solving the equation for to be in the form

Putting the values into equation to get

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