MHT CET202522 Apr 2025Evening ShiftPhysicsMagnetic Effects of CurrentActual
Two similar wires of equal lengths are bent in the form of a square and a circular loop. They are suspended in a uniform magnetic field and same current is passed through them. Torque experienced by
Options
- Acircular loop is greater.
- Bsquare loop is greater.
- Cboth loops is same.
- Dboth will be zero.
Correct answer
A. circular loop is greater.
Step-by-step solution
The torque on a current loop in a uniform magnetic field is given by = I A B , where A is the area enclosed by the loop. For a fixed wire length L , the area determines the torque magnitude. The square loop has side length s = L/4 and area A_ square = L^2/16 . The circular loop has radius r = L/(2 ) and area A_ circle = r^2 = L^2/(4 ) . Comparing areas, 1/(4 ) 0.0795 > 0.0625 = 1/16 , so A_ circle > A_ square . Since torque is proportional to area, the circular loop experiences greater torque. Final answer: A