Two thin long parallel wires, separated by a distance $d$ carry a current of $I$ $amp$ in  the same direction. They will

  • A

    attract each other with a force of $\mu_0I^2/2 \pi d^2$ per unit length.

  • B

    repel each other with a force of $\mu_0I^2/2 \pi d^2$ per unit length.

  • C

    attract each other with a force of $\mu_0I^2/2 \pi d$ per unit length.

  • D

    repel each other with a force of $\mu_0I^2/2 \pi d$ per unit length.

Similar Questions

The figure shows a conducting loop $ABCDA$ placed in a uniform magnetic field perpendicular to its plane. The part $ABC$ is the $(3/4)^{th}$ portion of the square of side length $l$ . The part $ADC$ is a circular arc of radius $R$ . The points $A$ and $C$ are connected to a battery which supply a current $I$ to the circuit. The magnetic force on the loop due to the field $B$ is

A $2 \mathrm{~A}$ current carrying straight metal wire of resistance $1 \Omega$, resistivity $2 \times 10^{-6} \Omega \mathrm{m}$, area of cross-section $10 \mathrm{~mm}^2$ and mass $500 \mathrm{~g}$ is suspended horizontally in mid air by applying a uniform magnetic field $\vec{B}$. The magnitude of $B$ is__________.$\times 10^{-1} \mathrm{~T}\left(\right.$ given, $\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2$ )

  • [JEE MAIN 2024]

Three long straight wires are connected parallel to each other across a battery of negligible internal resistance. The ratio of their resistances are $3 : 4 : 5$. What is the ratio of distances of middle wire from the others if the net force experienced by it is zero

A straight horizontal conducting rod of length $0.45\; m$ and mass $60\; g$ is suspended by two vertical wires at its ends. A current of $5.0 \;A$ is set up in the rod through the wires.

$(a)$ What magnetic field should be set up normal to the conductor in order that the tension in the wires is zero?

$(b)$ What will be the total tension in the wires if the direction of current is reversed keeping the magnetic field same as before? (Ignore the mass of the wires.) $g = 9.8\; m s^{-2}.$

The magnetic field existing in a region is given by $\vec B\, = {B_0}\,\left[ {1 + \frac{x}{l}} \right]\,\hat k\,A$ square loop of edge $l$  and carrying current $I_0$ , is placed with its edges parallel to the $x-y$ axis . Find the magnitude of the net magnetic force experienced by the loop