If you wanted to modify an RC circuit so that it would take the capacitor twice as long to discharge, how could you do that? (Hint: Remember that RC is the amount of time it takes to discharge to 37% of the original voltage.) Make the capacitance (C) half as large Make the resistance (R) twice as large Make the resistance (R) half as large Make the resistance (R) four times as large

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter21: Current And Direct Current Circuits
Section: Chapter Questions
Problem 53P
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If you wanted to modify an RC circuit so that it would take the capacitor twice as long to discharge, how could you do that?

(Hint: Remember that RC is the amount of time it takes to discharge to 37% of the original voltage.)


Make the capacitance (C) half as large
Make the resistance (R) twice as large
Make the resistance (R) half as large
Make the resistance (R) four times as large
Expert Solution
Step 1

An RC circuit consists of a resistor (R) and a capacitor (C) connected in series or parallel. The time it takes for a capacitor to discharge in an RC circuit is determined by the RC time constant, which is given by the product of the resistance and the capacitance.

The formula for the RC time constant is:

τ = R × C

To make the capacitor take twice as long to discharge in the RC circuit, you need to double the RC time constant. This can be achieved by either increasing the resistance or the capacitance, or a combination of both.

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