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Magnetic forces acting on conducting flu...

Magnetic forces acting on conducting fluids provide a convenient means of pumping these fluids. For example, this method can be used to pump blood without damage to the cells that can be caused by a mechanical pump. A horizontal tube with rectangular cross section (height `h`, width `W`) is placed at right angles to a uniform magnetic field with magnitude `B` so that a length `l` is in the field (see figure). The tube is filled with conducting liquid and an electric current density `J` is maintained in the third mutually perpendicular direction.
What is the pressure difference between a point in the vertical plane `ab` and another point in the vertical plane `cd`.

A

`JBh`

B

`JBW`

C

`JlB`

D

`Jl^(2)B^(2)`

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