Question

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

Short answer

The magnetic flux through the loop,${\mathrm{\Phi }}_m=\left(abB\right)\mathrm{Wb}$

Step-by-step solution

The magnetic flux  

A magnetic flux$\mathrm{\Phi }$seems 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" ${\mathrm{\Phi }}_m=BA$ $\left(1\right)$

The area of the loop

Here $B$denotes the magnetic field as well as $A$denotes 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 $a$and $b$. The magnetic flux is zero throughout the ring. As a result, the total area is

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

The magnetic flux through the loop

To calculate total magnetic flux, use the formula of $A$

${\mathrm{\Phi }}_m=BA=B\left(ab\right)=\left(abB\right)\mathrm{Wb}$