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JEE Mains · Physics · STD 12 - Moving charges and magnetism
  • JEE Mains 2024
  • Hard
  • MCQ

A rigid wire consists of a semicircular portion of radius \(R\) and two straight sections. The wire is partially immerged in a perpendicular magnetic field \(B=B_0\ {j}\) as shown in figure. The magnetic force on the wire if it has a current \(i\) is _______.

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Verified Solution

Answer & Solution

Correct Answer

(D) \(-2 i B R \hat{j}\)

Step-by-step Solution

Detailed explanation

Note : Direction of magnetic field is in \(+\hat{k}\)

\(\vec{F}=i \vec{\ell} \times \vec{B}\)

\(\ell=2 \mathrm{R}\)

\(\vec{F}=-2 i R B \hat{j}\)