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College Physics (Urone)
Found in: Page 694
College Physics (Urone)

College Physics (Urone)

Book edition 1st Edition
Author(s) Paul Peter Urone
Pages 1272 pages
ISBN 9781938168000

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Short Answer

What is the strength of the electric field in a region where the electric potential is constant?

The electric field’s strength will be zero in a region with constant electric potential.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :
TABLE OF CONTENTS

Step 1: Definition of the electric field

The change in potential with respect to the position gives the electric field strength. Its direction is opposite to the potential gradient.

\(E = - \frac{{dV}}{{dx}}\)

Step 2: calculating the electric field’s strength in a region with constant electric potential

In the region where electric potential is constant, the change in potential with respect to the position is zero.

That means the electric field strength will be zero.

Most popular questions for Physics Textbooks

Sketch the equipotential lines a long distance from the charges shown in Figure \({\rm{19}}{\rm{.28}}\). Indicate the direction of increasing potential.

How far apart are two conducting plates that have an electric field strength of \(4.50 \times {10^3}\;V/m\) between them, if their potential difference is \(15.0kV\)?

Give the reason why a dielectric material increases capacitance compared with what it would be with air between the plates of a capacitor. What is the independent reason that a dielectric material also allows a greater voltage to be applied to a capacitor? (The dielectric thus increases \(C\) and permits a greater \(V\).

The lesser electric ray (Narcine bancroftii) maintains an incredible charge on its head and a charge equal in magnitude but opposite in sign on its tail (Figure 19.32).

(a) Sketch the equipotential lines surrounding the ray.

(b) Sketch the equipotential when the ray is near a ship with a conducting surface.

(c) How could this charge distribution be of use to the ray?

Integrated Concepts

The temperature near the centre of the Sun is thought to be \(15{\rm{ }}million\) degrees Celsius \(\left( {1.5 \times {{10}^7}^o{\rm{ }}C} \right)\). Through what voltage must a singly charged ion be accelerated to have the same energy as the average kinetic energy of ions at this temperature?
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