Question

Find the magnitude of magnetic force on the frame as shown in the figure. [magnetic field is directed into the plane of the frame as shown ]-

• A. Zero
• B. $2Bi[a\sqrt{2}+\sqrt{(a^2+b^2)}]$
• C. $3BiL$
• D. $BiL$

Answer 1

The correct option is C $3BiL$




From the figure,

The vector length of branch $\text{ACB}$ and $\text{ADB}$ is $L$ also the vector length of branch $\text{AB}$ is $L.$

The net force on the frame is,

$F=3iBL$

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Hence, $\left(C\right)$ is the correct answer.