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

A square loop $ABCD$, carrying a current $i,$ is placed near and coplanar with a long straight conductor $XY$ carrying a current $I,$ the net force on the loop will be

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

A conducting circular loop of radius $r$ carries a constant current $i$. It is placed in a uniform magnetic field $\overrightarrow B $, such that $\overrightarrow B $ is perpendicular to the plane of the loop. The magnetic force acting on the loop is

The wires which connect the battery of an automobile to its starting motor carry a current of $300\; A$ (for a short time). What is the force per unit length between the wires if they are $70\; cm$ long and $1.5\; cm$ apart? Is the force attractive or repulsive?

A uniform magnetic field of $1.5\; T$ exists in a cylindrical region of radius $10.0\; cm$, its direction parallel to the axis along east to west. A wire carrying current of $7.0\; A$ in the north to south direction passes through this region. What is the magnitude and direction of the force on the wire if,

$(a)$ the wire intersects the axis,

$(b)$ the wire is turned from $N-S$ to northeast-northwest direction,

$(c)$ the wire in the $N-S$ direction is lowered from the axis by a distance of $6.0 \;cm?$