Question

A current carrying loop is shown in the figure. if the potential energy of loop in the magnetic field is $U$. then which of the following option is/are correct ?

• A. $U\propto |\overrightarrow{m}|$
• B. $\varphi$ does not affect the value of $U$
• C. $U\propto I$
• D. $U$ does not depend upon $r$

Answer 1

Answer: (A), (C)

The correct options are
A $U\propto |\overrightarrow{m}|$
C $U\propto I$

We know for circular loop with radius =r

Magnetic field $=\overrightarrow{B}$

Potential energy, $U=mB\cos \theta$

$⟹U=IAB{\cos }^2\theta$

$⟹U\propto I$ and

$U\propto \left|\overrightarrow{m}\right|$