A particle of charge 2 C is moving with a velocity of $(3 \hat{\mathbf{i}}+4 \hat{\mathrm{j}}) \mathrm{ms}^{-1}$ in the presence of magnetic and electric fields. If the magnetic field is $(\hat{\mathbf{i}}+2 \hat{\mathbf{j}}+3 \hat{\mathbf{k}}) \mathrm{T}$ and the electric field is $(-2 \hat{\mathbf{k}}) \mathrm{NC}^{-1}$, then the Lorentz force on the particle is

A rectangular coil of 400 turns and $10^{-2} \mathrm{~m}^2$ area, carrying a current of 0.5 A is placed in a uniform magnetic field of IT such that the plane of the coil makes an angle of $60^{\circ}$ with the direction of the magnetic field. The initial moment of force acting on the coil in $\mathrm{N}-\mathrm{m}$ is

A contjucting wire $P Q$ carries a current 10 A as shown in the figure. ft is placed in a uniform magnetic field 5 T which is acting normally outside from the paper. Then, the net force experienced by it is

A long straight wire carries a current of 18 A . The magnitude of the magnetic field at a point 12 cm from it is