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 :

221025-q

  • [JEE MAIN 2024]
  • A

    $-\mathrm{iBR} \hat{\mathrm{j}}$

  • B

    $2 \mathrm{iBR} \hat{\mathrm{j}}$

  • C

    $i B R \hat{j}$

  • D

    $-2 i B R \hat{j}$

Similar Questions

A square current carrying loop is suspended in a uniform magnetic field acting in the plane of the loop. If the force on one arm of the loop is $\overrightarrow F$ the net force on the remaining three arms of  the loop is

  • [AIPMT 2010]

Two parallel conductors $A$ and $B$ of equal lengths carry currents $I$ and $10\, I$, respectively, in the same direction. Then

In figure shows three long straight wires $P, Q$ and $R$ carrying currents normal to the plane of the paper. All three currents have the same magnitude. Which arrow best shows the direction of the resultant force on the wire $P$

A horizontal rod of mass $10\, gm$ and length $10\, cm$ is placed on a smooth plane inclined at an angle of $60^\circ $ with the horizontal, with the length of the rod parallel to the edge of the inclined plane. A uniform magnetic field of induction $B$ is applied vertically downwards. If the current through the rod is $1.73$ $ampere$, then the value of $B$ for which the rod remains stationary on the inclined plane is......$Tesla$

A uniform conducting wire $A B C$ has a mass of $10 \,g$. A current of $2 \,A$ flows through it. The wire is kept in a uniform magnetic field $B=2 T$. The acceleration of the wire will be ............. $ms ^{-2}$