Two parallel rails, distant $2.0 \mathrm{x} {10}^{-2} \mathrm{m},$ are laid in north-south direction. On these rails is kept a metal cylinder of mass$4.0 \mathrm{x} {10}^{-2} \mathrm{kg}. \mathrm{A}$ battery is connected to the rails with its positive terminal joined to the rail on the eastern side. The battery sends a current of $3.0 \mathrm{A}$ in the cylinder. If a uniform magnetic field of $1.2 \mathrm{T}$ directed upwards be there, then find out the magnitude and direction of the magnetic force imposed upon the cylinder. What would be the acceleration in the cylinder?

A current-carrying conductor has$8.0 \times {10}^{22}$ free electrons per metre length and their mean drift velocity is$8.0 \times {10}^{-5} {\mathrm{ms}}^{-1}$ If a magnetic field of$0.10 \mathrm{T}$ be applied perpendicular to the conductor, then calculate

(i) current in the conductor, 

A current-carrying conductor has $8.0 \times {10}^{22}$ tree electrons per metre length and their mean drift velocity is $8.0 \times {10}^{-5}{\mathrm{ms}}^{-1}$ If a magnetic field of $0.10 \mathrm{T}$ be applied perpendicular to the conductor, then calculate 

(ii) force on an electron and

A current-carrying conductor has $8.0 \times {10}^{22}$ free electrons per metre length and their mean drift velocity is $8.0 \mathrm{x} {10}^{-5} {\mathrm{ms}}^{-1}$. If a magnetic field of $0.10 \mathrm{T}$ be applied perpendicular to the conductor, then calculate the force imposed per metre length of the conductor.

A $60 \mathrm{cm}$ long wire (mass $10 \mathrm{g}$) is hanged by two flexible wires in a magnetic field of $0.40 \mathrm{T}$ Find the magnitude and direction of the current required to be flown to neutralize the tension of the hanging wires.