   # The dielectric material between the plates of a parallel-plate capacitor always has some nonzero conductivity σ . Let A represent the area of each plate and d the distance between them. Let κ represent the dielectric constant of the material. (a) Show that the resistance R and the capacitance C of the capacitor are related by R C = κ ϵ 0 σ (b) Find the resistance between the plates of a 14.0-nF capacitor with a fused quartz dielectric. ### Physics for Scientists and Enginee...

10th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781337553292

#### Solutions

Chapter
Section ### Physics for Scientists and Enginee...

10th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781337553292
Chapter 26, Problem 44AP
Textbook Problem
21 views

## The dielectric material between the plates of a parallel-plate capacitor always has some nonzero conductivity σ. Let A represent the area of each plate and d the distance between them. Let κ represent the dielectric constant of the material. (a) Show that the resistance R and the capacitance C of the capacitor are related by R C = κ ϵ 0 σ (b) Find the resistance between the plates of a 14.0-nF capacitor with a fused quartz dielectric.

(a)

To determine

To show: The resistance R and the capacitance C of the capacitor are related by RC=kε0σ

### Explanation of Solution

Given information: Non-zero conductivity is σ , area of each plate is A , distance between the plates is d , dielectric constant of the material is k .

Formula to calculate the capacitance of the parallel plate capacitor.

Here,

C is the capacitance of the parallel plate capacitor.

ε0 is the permittivity of free space.

k is the dielectric constant of the material.

A is the area of each plate.

d  is the distance between the plates.

Formula to calculate the resistance of the plate.

R=ρdA (2)

Here,

R is the resistance of the plate.

ρ is the resistivity of the material.

Formula to calculate the resistivity of the material.

ρ=1σ (3)

Here,

σ is the conductivity of the material

(b)

To determine

The resistance between the plates of a 14.0nF capacitor with a fused quartz dielectric.

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find more solutions based on key concepts
Why is the following situation impossible? In the Bohr model of the hydrogen atom, an electron moves in a circu...

Physics for Scientists and Engineers, Technology Update (No access codes included)

Are most sharks dangerous to human swimmers?

Oceanography: An Invitation To Marine Science, Loose-leaf Versin

Imagine that you are standing in a pharmacy comparing the Supplement Facts panels on the labels of two suppleme...

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

Define the terms matter and mass. What is the difference between mass and weight?

General Chemistry - Standalone book (MindTap Course List)

In which domain and kingdom are humans classified?

Biology: The Dynamic Science (MindTap Course List)

Neurons are arrested in ________ of the cell cycle. a. G1 b. anaphase c. prophase d. S phase

Biology: The Unity and Diversity of Life (MindTap Course List) 