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A thin wire of length ' $L$ ' made of an insulating material is bent to form a circular loop and a positive charge ' $\mathrm{q}$ ' is given so that it is distributed uniformly around the circumference of the loop. The loop is then rotated with an angular speed ' $\omega$ ' about an axis passing through its centre. If a uniform magnetic field B directed parallel to the plane of the loop is applied then the magnitude of the magnetic torque on the loop is
PhysicsElectromagnetic InductionAP EAMCETAP EAMCET 2018 (24 Apr Shift 2)
Options:
  • A $\frac{\mathrm{q} \omega \mathrm{L}^2 \mathrm{~B}}{8 \pi^2}$
  • B $\frac{\mathrm{q} \omega \mathrm{L}^2 \mathrm{~B}}{4 \pi^2}$
  • C $\frac{\mathrm{q} \omega \mathrm{L}^2 \mathrm{~B}}{2 \pi^2}$
  • D $\frac{\mathrm{q} \omega \mathrm{L}^2 \mathrm{~B}}{\pi^2}$
Solution:
1391 Upvotes Verified Answer
The correct answer is: $\frac{\mathrm{q} \omega \mathrm{L}^2 \mathrm{~B}}{8 \pi^2}$
No solution. Refer to answer key.

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