menu
bartleby
search
close search
Hit Return to see all results
close solutoin list

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.

BuyFindarrow_forward

Physics for Scientists and Enginee...

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

Solutions

Chapter
Section
BuyFindarrow_forward

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.

C=kε0Ad (1)

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

Chapter 26 Solutions

Physics for Scientists and Engineers with Modern Physics
Show all chapter solutions
add
Ch. 26 - The quantity of charge q (in coulombs) that has...Ch. 26 - A Van de Graaff generator (see Problem 24)...Ch. 26 - An electric current in a conductor varies with...Ch. 26 - A wire 50.0 m long and 2.00 mm in diameter is...Ch. 26 - An electric heater carries a current of 13.5 A...Ch. 26 - You are working at a company that manufactures...Ch. 26 - Suppose you wish to fabricate a uniform wire from...Ch. 26 - Suppose you wish to fabricate a uniform wire from...Ch. 26 - A current density of 6.00 1013 A/m2 exists in the...Ch. 26 - An iron wire has a cross-sectional area of 5.00 ...Ch. 26 - What is the fractional change in the resistance of...Ch. 26 - A certain lightbulb has a tungsten filament with a...Ch. 26 - An aluminum wire with a diameter of 0.100 mm has a...Ch. 26 - Plethysmographs are devices used for measuring...Ch. 26 - At what temperature will aluminum have a...Ch. 26 - You are working in a laboratory that studies the...Ch. 26 - Assume that global lightning on the Earth...Ch. 26 - The Van de Graaff generator, diagrammed in Figure...Ch. 26 - A 100-W lightbulb connected to a 120-V source...Ch. 26 - The potential difference across a resting neuron...Ch. 26 - The cost of energy delivered to residences by...Ch. 26 - Residential building codes typically require the...Ch. 26 - Assuming the cost of energy from the electric...Ch. 26 - An 11.0-W energy-efficient fluorescent lightbulb...Ch. 26 - A 500-W heating coil designed to operate from 110...Ch. 26 - Why is the following situation impossible? A...Ch. 26 - Make an order-of-magnitude estimate of the cost of...Ch. 26 - Lightbulb A is marked 25 W 120 V, and lightbulb B...Ch. 26 - One wire in a high-voltage transmission line...Ch. 26 - You are working with an oceanographer who is...Ch. 26 - A charge Q is placed on a capacitor of capacitance...Ch. 26 - An experiment is conducted to measure the...Ch. 26 - A straight, cylindrical wire lying along the x...Ch. 26 - A straight, cylindrical wire lying along the x...Ch. 26 - Review. An office worker uses an immersion heater...Ch. 26 - The strain in a wire can be monitored and computed...Ch. 26 - A close analogy exists between the flow of energy...Ch. 26 - The dielectric material between the plates of a...Ch. 26 - Review. A parallel-plate capacitor consists of...Ch. 26 - The currentvoltage characteristic curve for a...Ch. 26 - Why is the following situation impossible? An...Ch. 26 - A more general definition of the temperature...Ch. 26 - A spherical shell with inner radius ra and outer...Ch. 26 - Material with uniform resistivity is formed into...

Additional Science Textbook Solutions

Find more solutions based on key concepts
Show solutions add
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)