A straight wire carrying a current ${i_1}\,amp$ runs along the axis of a circular current ${i_2}\,amp$. Then the force of interaction between the two current carrying conductors is

Write magnetic force equation on current carrying element ${\rm{I\vec l}}$ inside magnetic field ${\rm{\vec B}}$ Write law to determine direction of magnetic field.

A uniform conducting wire $ABC$ has a mass of $10\,g$. A current of $2\,A$ flows through it. The wire is kept in a uniform magnetic field $B = 2T.$ The acceleration of the wire will be

Same current $i = 2A$ is flowing in a wire frame as shown in figure. The frame is a combination of two equilateral triangles $ACD$ and $CDE$ of side $1\,m$. It is placed in uniform magnetic field $B = 4T$ acting perpendicular to the plane of frame. The magnitude of magnetic force acting on the frame is.......$N$

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 $6.0 \;cm?$

A power line lies along the east-west direction and carries a current of $10\, ampere$. The force per metre due to the earth's magnetic field of ${10^{ - 4}}\,tesla$ is