A current carrying closed loop in the form of a right angle isosceles triangle $ABC$ is placed in a uniform magnetic field acting along $AB.$ If the magnetic force on the arm $BC$ is $\vec F,$ the force on the arm $AC$ is
$ - \sqrt 2 \vec F$
$-$ $\vec F$
$\vec F$
$\sqrt 2 \vec F$
Two parallel beams of electrons moving in the same direction produce a mutual force
A rectangular loop of wire shown below is coplanar with a long wire carrying current $I$. The loop is pulled to the right a s indicated. What are the directions of the induced current in the loop and the magnetic forces on the left and the right sides of the loop?
Induced current | Force on left side | Force on right side | |
$a.$ | Counter clockwise | To the left | To the right |
$b.$ | clockwise | To the left | To the right |
$c.$ | Counter clockwise | To the right | To the left |
$d.$ | clockwise | To the right | To the left |
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.) $g = 9.8\; m s^{-2}.$
A horizontal metallic rod of mass $'m'$ and length $'l'$ is supported by two vertical identical springs of spring of spring constant $'K'$ each and natural length $l_0.$ A current $'i'$ is flowing in the rod in the direction shown. If the rod is in equilibrium then the length of each spring in this state is :-
Find force per unit length at $P$.