Question

A rectangle Loop of area A carrying a current I, in the presence of a uniform external magnetic field B in the plane of the Loop, experiences a torque of magnitude________

• A. Zero
• B. IAB
• C. IAB $\cos \theta$
• D. IAB $\sin \theta$

Answer 1

The correct option is D IAB $\sin \theta$

Given : A rectangle Loop of area A carrying a current I, in the presence of a uniform external magnetic field B in the plane of the Loop

Solution : We have a formula for magnetic torque on current carrying loop as

$\tau =I(\overrightarrow{A}\times \overrightarrow{B})$

$\tau =Torque$ A = Area of loop and B= magnetic field

This formula can be further written as $\tau =IABsin\theta$

It is valid for any closed loop.

Hence the correct opt is D