Q. 47

Expert-verifiedFound in: Page 655

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

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

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,

Angle,

Length,

Charge,

radius of the Semicircle,

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,

If and , calculate the field strength.

, then

Given and charge , solve equation

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