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
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)...
icon
Related questions
Question

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.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
DC circuits
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON