Select your language

Suggested languages for you:
Log In Start studying!
Answers without the blur. Sign up and see all textbooks for free! Illustration

Q. 47

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 655

Answers without the blur.

Just sign up for free and you're in.


Short Answer

Charge Q is uniformly distributed along a thin, flexible rod of length L. The rod is then bent into the semicircle shown in FIGURE. 23.47

a. Find an expression for the electric field at the center of the semicircle.

Hint: A small piece of arc length spans a small angle , where is the radius.

b. Evaluate the field strength if and .

(a) Electrical field at the center of the semicircle is ,

(b) Field strength, when is

See the step by step solution

Step by Step Solution

Step1: Introduction

The existence of a charged object affects the realm around it, causing an electrical field to create therein space. A charged object produces an electrical field, which could a change within the space or field surrounding it. The extraordinary modification of the realm would be felt by other charges in this field.

Small angle,




radius of the Semicircle,

Step2: Find Electrical field (part a)

CALC Charge Q is evenly distributed throughout the length L of a thin, flexible rod. Figure shows how the rod is bent into a semicircle. Graph Cenier

a. Find the following expression for the electric field E at the semicircle's centre: As spans a little angle, a small amount of arc length , where R denotes the radius of the circle. .

and , then

Integrate equations, to

Imposing restrictions to the magnitude of the electrical field,

Step3: Find field intensity (part b)

If and , calculate the field strength.

, then

Given and charge , solve equation

Most popular questions for Physics Textbooks


Want to see more solutions like these?

Sign up for free to discover our expert answers
Get Started - It’s free

Recommended explanations on Physics Textbooks

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.