   Chapter 20, Problem 1P

Chapter
Section
Textbook Problem

A uniform magnetic field of magnitude 0.50 T is directed perpendicular to the plane of a rectangular loop having dimensions 8.0 cm by 12 cm. Find the magnetic flux through the loop.

To determine
The magnetic flux through the rectangular loop.

Explanation

Given Info:

The dimension of the rectangular loop is 8.0cm by 12.0cm .

The magnitude of the magnetic field is 0.50T .

Explanation:

Since, the uniform magnetic field is acting perpendicular to the rectangular loop; the angle between the normal of the rectangular loop to the magnetic field is zero.

The area of a rectangular loop is,

A=lb (I)

• l is the length of the rectangular loop
• b is the breadth of the rectangular loop

Formula to calculate the magnetic flux is,

ϕ=BAcosθ (II)

• θ is the angle between the magnetic field and the normal of the rectangular loop
• B is the magnetic field
• A is the area of the loop

Substitute equation (I) in (II),

ϕ=B(lb)cosθ

Substitute 0.50T for B , 12.0cm for l and 8.0cm for b to find the magnetic flux through the rectangular loop,

ϕ=(0

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