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Consider the series RC-circuit shown below for which R = 51.0 kΩ, C = 16.5 µF, and  = 22.5 V. Find the following. (a) the time constant of the circuit _______ s (b) the charge on the capacitor one time constant after the switch is closed _______ C

Consider the series RC-circuit shown below for which R = 51.0 kΩ, C = 16.5 µF, and  = 22.5 V. Find the following. (a) the time constant of the circuit _______ s (b) the charge on the capacitor one time constant after the switch is closed _______ C

College Physics
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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1. Consider the series RC-circuit shown below for which R = 51.0 kΩ, C = 16.5 µF, and  = 22.5 V. Find the following.

(a) the time constant of the circuit _______ s

(b) the charge on the capacitor one time constant after the switch is closed _______ C

 

The image depicts a simple electric circuit diagram featuring the following components: 1. **Battery (\(ε\))**: Represented on the left side, this provides the electromotive force (EMF) for the circuit. It is marked with a positive (+) and negative (-) terminal. 2. **Capacitor (C)**: Shown at the top right, it is connected in series within the circuit. It is denoted by two parallel lines. 3. **Resistor (R)**: Illustrated below the capacitor, marked with a zigzag line, represents the resistance in the circuit. 4. **Switch (S)**: Located at the bottom part of the circuit, it is shown in an open position, depicted with a gap in the pathway, indicating that the circuit is currently not complete. This circuit diagram is a basic representation used to demonstrate the charging process of a capacitor in series with a resistor, powered by a battery, and controlled by a switch. When the switch is closed, current flows, charging the capacitor and affecting the voltage across the resistor.
Transcribed Image Text:The image depicts a simple electric circuit diagram featuring the following components: 1. **Battery (\(ε\))**: Represented on the left side, this provides the electromotive force (EMF) for the circuit. It is marked with a positive (+) and negative (-) terminal. 2. **Capacitor (C)**: Shown at the top right, it is connected in series within the circuit. It is denoted by two parallel lines. 3. **Resistor (R)**: Illustrated below the capacitor, marked with a zigzag line, represents the resistance in the circuit. 4. **Switch (S)**: Located at the bottom part of the circuit, it is shown in an open position, depicted with a gap in the pathway, indicating that the circuit is currently not complete. This circuit diagram is a basic representation used to demonstrate the charging process of a capacitor in series with a resistor, powered by a battery, and controlled by a switch. When the switch is closed, current flows, charging the capacitor and affecting the voltage across the resistor.
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