Chapter 26: Q. 39 (page 739)

The electric field in a region of space is $e X = - 1000 \times v / M$ , where $x$ is in meters.
a. Graph $E x$ versus $x$ over the region $- 1 m . . . \times . . . 1 m$ .
b. What is the potential difference between $x i = - 20 c m$ and $x f = 30 c m$ ?

Short Answer

Expert verified

a. The graph is given below.

b. The potential difference is $25 V$ .

Step by step solution

Part(a) step 1: Given information

We have given that the electric field in a region of space is $E x = - 1000 x V / m$ , where $x$ is in meters.

We need to find the graph $E x$ versus $x$ over the region $- 1 m . . . \times . . . 1 m$ .

Part (a) step 2: Simplify

The graph for the electric field is

Part (b) step 1: Given information

We have given that the the electric field in a region of space is $E x = - 1000 x V / m$ , where $x$ is in meters.

We need to find the p.

Part (b) step 2: Simlplify

The potential is given as

$V (x) = - E (x) d x$

The potential difference is given as

$∆ V = \int_{- 0.2}^{0.3} - 1000 x d x = 500 {[x^{2}]}_{- 0.2}^{0.3} = 500 \cdot (0.09 - 0.04) = 25 V$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

The electric field in a region of space is $e X = - 1000 \times v / M$ , where $x$ is in meters.
a. Graph $E x$ versus $x$ over the region $- 1 m . . . \times . . . 1 m$ .
b. What is the potential difference between $x i = - 20 c m$ and $x f = 30 c m$ ?

Short Answer

Step by step solution

Part(a) step 1: Given information

Part (a) step 2: Simplify

Part (b) step 1: Given information

Part (b) step 2: Simlplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Translational Dynamics

Space Physics

Radiation

Astrophysics

Kinematics Physics

Electric Charge Field and Potential

Study anywhere. Anytime. Across all devices.

The electric field in a region of space is eX=-1000×v/M, where xis in meters.a. Graph Exversus xover the region -1m...×...1m. b. What is the potential difference between xi=-20cmand xf=30cm?

Short Answer

Step by step solution

Part(a) step 1: Given information

Part (a) step 2: Simplify

Part (b) step 1: Given information

Part (b) step 2: Simlplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Translational Dynamics

Space Physics

Radiation

Astrophysics

Kinematics Physics

Electric Charge Field and Potential

Study anywhere. Anytime. Across all devices.

The electric field in a region of space is $e X = - 1000 \times v / M$ , where $x$ is in meters.
a. Graph $E x$ versus $x$ over the region $- 1 m . . . \times . . . 1 m$ .
b. What is the potential difference between $x i = - 20 c m$ and $x f = 30 c m$ ?