The Electromagnetic Pump. Magnetic forces acting on conductingfluids provide a convenient means of pumping these fluids. For example,this method can be used to pump blood without the damage to the cellsthat can be caused by a mechanical pump. A horizontal tube withrectangular cross section (height h, width w) is placed at right angles toa uniform magnetic field with magnitude B so that a length l is in thefield. The tube is filled with a conducting liquid, and an electric current ofdensity J is maintained in the third mutually perpendicular direction.Show that the difference of pressure between a point in the liquid on avertical plane through ab and a point in the liquid on another verticalplane through cd, under conditions in which the liquid is prevented fromflowing, is Ap = JlB.Bh`Liquid metalor blood

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