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In an electromagnetic pump designed fo...

In an electromagnetic pump designed for transferring molten metals a pipe section with metal is located in unifrom magnetic field of induction `B` (Fig) A curent `I` is made to flow across this pipe section in the direaction 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, l = 100 A`, and `a = 2.0 cm`,

Text Solution

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The current density is `(I)/(aL)`, where `L` is the length of the section. The difference in pressure produced must be,
`Delta p = (1)/(a L) xx B xx (abL)//ab = (IB)/(a)`
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