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Q. 37

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
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Short Answer

What value resistor will discharge a capacitor to of its initial charge in ?

value resistor will discharge.

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Step by Step Solution

Step 1: Given Information  

We need to find that What value resistor will discharge.

Step 2: Simplify  

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

is the resistance and is the capacitance. The initial charge is reduced to its of its value, so the final charge is

After solving equation for to be in the form

Putting the value for into equation to get

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