Question

In an electromagnetic pump designed for transferring molten metals a pipe section with metal is located in a uniform magnetic field of induction $B$ (Fig.). A current $I$ is made to flow across this pipe section in the direction perpendicular both to the vector $B$ and to the axis of the pipe. Find the gauge pressure produced by the pump if $B=0.10T,I=100A$, and $a=2.0cm$.

Answer 1

Force acting on molten metal is $F$.

$F=Il\overrightarrow{B}$

Pressure in the pump=$\frac{F}{crosssectionalarea}$

$\frac{IlB}{al}=\frac{BI}{a}$ N/$m^2$.

$=\frac{0.1\times 10}{2\times {10}^{-2}}=\frac{1}{2}\times {10}^{3}PAx=2$