### Problem StatementA fully discharged capacitor is connected in series to a resistor and a battery of constant voltage. The capacitor gets fully charged in a time of approximately 30 seconds. Which of the following changes would make the capacitor become fully charged in less time?1. Add a second resistor in series to the first one2. Add a second resistor in parallel to the first one3. Increase the voltage of the battery4. Decrease the voltage of the battery### ExplanationIn the context of charging a capacitor in a resistor-capacitor (RC) circuit:- **Increasing the voltage of the battery** would typically reduce the charging time because the higher voltage provides more potential difference to charge the capacitor faster.- **Adding a second resistor in series** will increase the total resistance, which usually increases the charging time.- **Adding a second resistor in parallel** to the first one decreases the total resistance, thus reducing the charging time.- **Decreasing the voltage of the battery** would increase the charging time due to the reduced potential difference.Therefore, options such as increasing the battery voltage or decreasing the resistance (by adding a parallel resistor) can effectively shorten the charging time.

Formula of time constant: τ=RC Where, R= Resistance. C= Capacitance.

A fully discharged capacitor is connected in series to a resistor and a battery of constant voltage. The capacitor gets fully charged in a time of approximately 30 seconds. Which of the following changes would make the capacitor become fully charged in less time? Add a second resistor in series to the first one O Add a second resistor in parallel to the first one O Increase the voltage of the battery Decrease the voltage of the battery

A fully discharged capacitor is connected in series to a resistor and a battery of constant voltage. The capacitor gets fully charged in a time of approximately 30 seconds. Which of the following changes would make the capacitor become fully charged in less time? Add a second resistor in series to the first one O Add a second resistor in parallel to the first one O Increase the voltage of the battery Decrease the voltage of the battery

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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