A large current carrying plate is kept along $y-z$ plane with $k$ $amp$ current per unit length in the $+ve$ $y$ direction. Find the net force on the semi cricular current carrying looplying in the $x-y$ plane. Radius of loop is $R$, current is $i$ and centre is at $(d,0, 0)$ where $(d > R)$

  • A

    ${\mu _0}kRi$

  • B

    $\frac{{{\mu _0}kRi}}{2}$

  • C

    ${2\mu _0}kRi$

  • D

    $\sqrt 2 {\mu _0}kRi$

Similar Questions

The magnetic field existing in a region is given by $\vec B\, = \,{B_0}\,\left( {5 + \frac{x}{l}} \right)\,\hat K$ A square loop of edge $l$ and carrying a current $i$ is placed with its edges parallel to $x-y$ axes. Find the magnitude of the net magnetic force experienced by the loop

A charge of $4.0 \mu \mathrm{C}$ is moving with a velocity of $4.0 \times 10^6 \mathrm{~ms}^{-1}$ along the positive $\mathrm{y}$-axis under a magnetic field $\vec{B}$ of strength $(2 \hat{k})\  T$. The force acting on the charge is $x \hat{i} N$. The value of $x$ is__________.

  • [JEE MAIN 2024]

A beam of electrons and protons move parallel to each other in the same direction, then they

Two parallel long wires carry currents $i_1$ and $i_2$ with ${i_1} > {i_2}$. When the currents are in the same direction, the magnetic field midway between the wires is $10\, \mu T$. When the direction of $i_2$ is reversed, it becomes $40 \,\mu T$. the ratio ${i_1}/{i_2}$ is

Assertion : Free electrons always keep on moving in a conductor even then no magnetic force act on them in magnetic field unless a current is passed through it.

Reason : The average velocity of free electron is zero.

  • [AIIMS 2016]