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Chapter 30: Q. 7 (page 869)

What is the magnetic flux through the loop shown in FIGURE EX30.7?

Short Answer

Expert verified

The magnetic flux through the loop,Φm=(abB)Wb

Step by step solution

01

The magnetic flux  

A magnetic fluxΦseems to be the magnitude of magnetic field which passes through some kind of ring of area A. If the magnetic field lies straight towards the plane's normal, This magnetic flux was provided by

localid="1648909960209" Φm=BA 1

02

The area of the loop

Here Bdenotes the magnetic field as well as Adenotes the substring circumference. The magnetic flux is 0 beyond the selected site. The magnetic field mainly passes into such a rectangle, which has 2 faces aand b. The magnetic flux is zero throughout the ring. As a result, the total area is

role="math" localid="1648905895737" A=ab

03

The magnetic flux through the loop

To calculate total magnetic flux, use the formula of A

Φm=BA=B(ab)=(abB)Wb

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