Write formula for current carrying wire placed in uniform magnetic field.

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......$Tesla$

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 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 $(d > R)$

Currents of a $10\, ampere$ and $2\, ampere$ are passed through two parallel thin wires $A$ and $B$ respectively in opposite directions. Wire $A$ is infinitely long and the length of the wire $B$ is $2\, m$. The force acting on the conductor $B$, which is situated at $10\, cm$ distance from $A$ will be

Adjoining figure shows a very long semicylindrical conducting shell of radius $R$ and carrying a current $i$. An infinitely long straight current carrying conductor is lying along the axis of the semi-cylinder. If the current flowing through the straight wire be $i_0$, then the force per unit length on the conducting wire is