   Chapter 20, Problem 6P

Chapter
Section
Textbook Problem

A magnetic field of magnitude 0.300 T is oriented perpendicular to the plane of a circular loop. (a) Calculate the loop radius if the magnetic flux through the loop is 2.70Wb. (b) Calculate the new magnetic flux if the loop radius is doubled.

(a)

To determine

Explanation

Given info: The magnetic field of (B) is0.300 T. Magnetic flux through the loop is 2.70 Wb.

Formula to calculate flux is,

ϕB=BAcosθ

• θ is the angle between the field and area vector.

The area of the loop is,

A=πR2

• R is the loop radius.

Therefore, the loops radius is,

R=ϕBπBcosθ

Substitute0

(b)

To determine
The new magnetic flux when the loop radius is doubled.

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