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
$5\,{B_0}\,il$
$6\,{B_0}\,il$
${B_0}\,il$
Zero
A circular coil of wire carries a current. $PQ$ is a part of a very long wire carrying a current and passing close to the circular coil. If the directions of currents are those shown in figure, what is the direction of force acting on $PQ$ ?
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 circular coil of radius $4\, cm$ has $50$ $turns$. In this coil a current of $2\, A$ is flowing. It is placed in a magnetic field of $0.1$ $weber/{m^2}$. The amount of work done in rotating it through $180^\circ $ from its equilibrium position will be........$J$
A single turn current loop in the shape of a right angle triangle with sides $5\,cm , 12\,cm , 13\,cm$ is carrying a current of $2\,A$. The loop is in a uniform magnetic field of magnitude $0.75\,T$ whose direction is parallel to the current in the $13\,cm$ side of the loop. The magnitude of the magnetic force on the $5\,cm$ side will be $\frac{ x }{130}\,N$. The value of $x$ is $..........$
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 ............. $ms ^{-2}$