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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Question
For the circuit below, what is the total charge stored?
![The image contains a schematic of an electrical circuit and two important constants relevant to electrical calculations.
### Circuit Diagram:
- **Components**: The circuit includes a voltage source (battery) and three capacitors.
- **Voltage Source**: 18 V
- **Capacitors**:
- One 12 µF capacitor
- One 6 µF capacitor
- One 9 µF capacitor
- **Configuration**:
- The 12 µF and 6 µF capacitors are connected in parallel.
- The parallel combination of the 12 µF and 6 µF capacitors is in series with the 9 µF capacitor.
### Constants:
- **Coulomb's Law Constant (k)**:
\[
k = 9 \times 10^9 \, \frac{Nm^2}{coul^2}
\]
This is the electrostatic constant used in calculations involving electric forces between point charges.
- **Permittivity of Free Space (\(\varepsilon_0\))**:
\[
\varepsilon_0 = 8.85 \times 10^{-12} \, \frac{C^2}{Nm^2}
\]
This constant is used in calculations involving electric fields and capacitance in a vacuum.
This diagram and the constants are essential for analyzing and solving problems related to circuits and electrostatic interactions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6b35b3b0-b14f-402d-8fa7-815e4977d1f5%2F9337af91-02c1-4451-9eb1-1da91de02eff%2Fsfeovk_processed.png&w=3840&q=75)
Transcribed Image Text:The image contains a schematic of an electrical circuit and two important constants relevant to electrical calculations.
### Circuit Diagram:
- **Components**: The circuit includes a voltage source (battery) and three capacitors.
- **Voltage Source**: 18 V
- **Capacitors**:
- One 12 µF capacitor
- One 6 µF capacitor
- One 9 µF capacitor
- **Configuration**:
- The 12 µF and 6 µF capacitors are connected in parallel.
- The parallel combination of the 12 µF and 6 µF capacitors is in series with the 9 µF capacitor.
### Constants:
- **Coulomb's Law Constant (k)**:
\[
k = 9 \times 10^9 \, \frac{Nm^2}{coul^2}
\]
This is the electrostatic constant used in calculations involving electric forces between point charges.
- **Permittivity of Free Space (\(\varepsilon_0\))**:
\[
\varepsilon_0 = 8.85 \times 10^{-12} \, \frac{C^2}{Nm^2}
\]
This constant is used in calculations involving electric fields and capacitance in a vacuum.
This diagram and the constants are essential for analyzing and solving problems related to circuits and electrostatic interactions.
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