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Question: Answered & Verified by Expert
A conducting circular loop of radius $r$ carries a constant current $i .$ It is placed in a uniform magnetic field $\overrightarrow{\mathrm{B}}_{0}$ such that $\overrightarrow{\mathrm{B}}_{0}$ is perpendicular to the plane of the loop. The magnetic force acting on the loop is
PhysicsMagnetic Effects of CurrentBITSATBITSAT 2009
Options:
  • A $i r \mathrm{~B}_{0}$
  • B $2 \pi i r \mathrm{~B}_{0}$
  • C zero
  • D $\pi$ ir $\mathrm{B}_{0}$
Solution:
2489 Upvotes Verified Answer
The correct answer is: zero
The magnetic field is perpendicular to the plane of the paper. Let us consider two diametrically opposite elements. By Fleming's Left hand rule on element $\mathrm{AB}$ the direction of force will be Leftwards and the magnitude will be
$$
\mathrm{dF}=\operatorname{Idl} \mathrm{B} \sin 90^{\circ}=\mathrm{IdIB}
$$

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