3. The Electromagnetic Pump. Magnetic þnducting onvenient means of pumping these fluids. For example, this method can be used to pump blood without the damage to the cells that can be caused by a mechanical pump. A horizontal tube with rectangular cross section (height h, width w) is k placed at right angles to a uniform magnetic field with magnitude B so acting provide forces on fluids а `Liquid metal or blood that length is in the field. The tube is filled with a conducting liquid, and an electric current of density J is maintained in the third mutually perpendicular direction. Show that the difference of pressure between a point in the liquid on a vertical plane through ab and a point in the liquid on another vertical plane through cd, under conditions in which the liquid is prevented from flowing, is .
3. The Electromagnetic Pump. Magnetic þnducting onvenient means of pumping these fluids. For example, this method can be used to pump blood without the damage to the cells that can be caused by a mechanical pump. A horizontal tube with rectangular cross section (height h, width w) is k placed at right angles to a uniform magnetic field with magnitude B so acting provide forces on fluids а `Liquid metal or blood that length is in the field. The tube is filled with a conducting liquid, and an electric current of density J is maintained in the third mutually perpendicular direction. Show that the difference of pressure between a point in the liquid on a vertical plane through ab and a point in the liquid on another vertical plane through cd, under conditions in which the liquid is prevented from flowing, is .
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Transcribed Image Text:3. The Electromagnetic Pump.
Magnetic
þnducting
onvenient means of pumping these
fluids. For example, this method
can be used to pump blood without
the damage to the cells that can be
caused by a mechanical pump. A
horizontal tube with rectangular
cross section (height h, width w) is k
placed at right angles to a uniform
magnetic field with magnitude B so
acting
provide
forces
on
fluids
а
`Liquid metal
or blood
that
length is in the field. The tube is filled with a
conducting liquid, and an electric current of density J is
maintained in the third mutually perpendicular direction.
Show that the difference of pressure between a point in the
liquid on a vertical plane through ab and a point in the liquid
on another vertical plane through cd, under conditions in
which the liquid is prevented from flowing, is .
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