A charge of $4.0 \mu \mathrm{C}$ is moving with a velocity of $4.0 \times 10^6 \mathrm{~ms}^{-1}$ along the positive $\mathrm{y}$-axis under a magnetic field $\vec{B}$ of strength $(2 \hat{k})\  T$. The force acting on the charge is $x \hat{i} N$. The value of $x$ is__________.

A triangular shaped wire carrying $10 A$ current is placed in a uniform magnetic field of $0.5\,T$, as shown in figure. The magnetic force on segment $CD$ is $....N$ $($ Given $BC = CD = BD =5\,cm )$.

The magnetic field existing in a region is given by $\overrightarrow{\mathrm{B}}=0.2(1+2 \mathrm{x}) \hat{\mathrm{k} T}$. A square loop of edge $50 \mathrm{~cm}$ carrying $0.5 \mathrm{~A}$ current is placed in $x-y$ plane with its edges parallel to the $x-y$ axes, as shown in figure. The magnitude of the net magnetic force experienced by the loop is___________. $\mathrm{mN}$.

Two thin, long, parallel wires, separated by a distance ‘$d$’ carry a current of ‘$i$’ in the same direction. They will

A conductor $ABCDE$, shaped as shown, carries a current i. It is placed in the $xy$ plane with the ends $A$ and $E$ on the $x$-axis. $A$ uniform magnetic field of magnitude $B$ exists in the region. The force acting on it will be

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 ............. $ms ^{-2}$