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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

  1. Acircular loop is greater.
  2. Bsquare loop is greater.
  3. Cboth loops is same.
  4. 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

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