Answered: A 100uf capacitor and a 3.6kohms…

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter27: Direct-current Circuits

Section: Chapter Questions

Problem 44AP: A battery is used to charge a capacitor through a resistor as shown in Figure P27.44. Show that half...

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A 100uf capacitor and a 3.6kohms resistor are connected in series. How long will it take for the capacitor to change its charge completely?

Expert Solution

Step 1: Write given values

To determine the time it takes for the capacitor to change its charge completely, we need to calculate the time constant ( $tau$ ) of the RC circuit. The time constant represents the time it takes for the voltage across the capacitor to reach approximately 63.2% of its final value. It takes 5-time constants for the capacitor to become almost fully charged

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