If you want to build the equivalent capacitor with a parallel plate capacitor with dielectric material K = 2.0. What is the size of the square plate, if the separation is the size of the plate? C₁ = 12 pF C₂ = 24 pF &₁ = 15 V C3 = 25 pF C5 = 16 pF C4 = 15 pF
If you want to build the equivalent capacitor with a parallel plate capacitor with dielectric material K = 2.0. What is the size of the square plate, if the separation is the size of the plate? C₁ = 12 pF C₂ = 24 pF &₁ = 15 V C3 = 25 pF C5 = 16 pF C4 = 15 pF
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)...
Related questions
Concept explainers
Dielectric Constant Of Water
Water constitutes about 70% of earth. Some important distinguishing properties of water are high molar concentration, small dissociation constant and high dielectric constant.
Electrostatic Potential and Capacitance
An electrostatic force is a force caused by stationary electric charges /fields. The electrostatic force is caused by the transfer of electrons in conducting materials. Coulomb’s law determines the amount of force between two stationary, charged particles. The electric force is the force which acts between two stationary charges. It is also called Coulomb force.
Question
![**Problem Statement:**
If you want to build the equivalent capacitor with a parallel plate capacitor with dielectric material κ = 2.0, what is the size of the square plate if the separation is ¼ the size of the plate?
**Given Circuit:**
A circuit diagram is provided which contains five capacitors interconnected in the following manner:
- Capacitor \( C_1 \) (12 pF) is in series with Capacitor \( C_5 \) (16 pF).
- This series combination is connected in parallel with Capacitor \( C_2 \) (24 pF).
- Capacitor \( C_3 \) (25 pF) is in series with the parallel combination of Capacitor \( C_4 \) (15 pF) and a branch containing Capacitors \( C_2 \) and the series combination of \( C_1 \) and \( C_5 \).
- The entire circuit is powered by an external voltage source \( ε_1 = 15V \).
**Explanation of the Circuit Diagram:**
1. **Series Connection:** Capacitors connected end-to-end, so the total capacitance \( C_{series} \) is:
\[
\frac{1}{C_{series}} = \frac{1}{C_1} + \frac{1}{C_5}
\]
2. **Parallel Connection:** Capacitors connected across the same two points, so the total capacitance \( C_{parallel} \) is:
\[
C_{parallel} = C_2 + C_{series}
\]
Where \( C_{series} \) is the equivalent capacitance of \( C_1 \) and \( C_5 \).
3. **Combined Connections:** The combined capacitance, including further series or parallel connections.
This setup aims to analyze the resultant capacitance and size the new parallel plate capacitor with the given dielectric and dimensions. The size of the plate \( A \) can be found using the formula:
\[
C = \kappa \epsilon_0 \left(\frac{A}{d}\right)
\]
Where:
- \( C \) is the total capacitance found.
- \( \kappa \) is the dielectric constant (given as 2.0).
- \( \epsilon_0 \) is the permittivity of free space (\( \approx 8.85 \times 10^{-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff89c5e82-2527-49f4-96f0-d8c4ad99581b%2F251d9fe0-afa2-424b-8da9-d03063c38300%2Ftd5p9bb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
If you want to build the equivalent capacitor with a parallel plate capacitor with dielectric material κ = 2.0, what is the size of the square plate if the separation is ¼ the size of the plate?
**Given Circuit:**
A circuit diagram is provided which contains five capacitors interconnected in the following manner:
- Capacitor \( C_1 \) (12 pF) is in series with Capacitor \( C_5 \) (16 pF).
- This series combination is connected in parallel with Capacitor \( C_2 \) (24 pF).
- Capacitor \( C_3 \) (25 pF) is in series with the parallel combination of Capacitor \( C_4 \) (15 pF) and a branch containing Capacitors \( C_2 \) and the series combination of \( C_1 \) and \( C_5 \).
- The entire circuit is powered by an external voltage source \( ε_1 = 15V \).
**Explanation of the Circuit Diagram:**
1. **Series Connection:** Capacitors connected end-to-end, so the total capacitance \( C_{series} \) is:
\[
\frac{1}{C_{series}} = \frac{1}{C_1} + \frac{1}{C_5}
\]
2. **Parallel Connection:** Capacitors connected across the same two points, so the total capacitance \( C_{parallel} \) is:
\[
C_{parallel} = C_2 + C_{series}
\]
Where \( C_{series} \) is the equivalent capacitance of \( C_1 \) and \( C_5 \).
3. **Combined Connections:** The combined capacitance, including further series or parallel connections.
This setup aims to analyze the resultant capacitance and size the new parallel plate capacitor with the given dielectric and dimensions. The size of the plate \( A \) can be found using the formula:
\[
C = \kappa \epsilon_0 \left(\frac{A}{d}\right)
\]
Where:
- \( C \) is the total capacitance found.
- \( \kappa \) is the dielectric constant (given as 2.0).
- \( \epsilon_0 \) is the permittivity of free space (\( \approx 8.85 \times 10^{-
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
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.Recommended textbooks for you
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
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…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON