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Solved: The Electromagnetic Pump. Magnetic forces acting
Chapter 27, Problem 90CP(choose chapter or problem)
The Electromagnetic Pump. 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 the damage to the cells that can be caused by a mechanical pump. A horizontal tube with rectangular cross section (height , width
) is placed at right angles to a uniform magnetic field magnitude
so that a length
is in the field (Fig. P27.90). The tube is filled with a or blood conducting liquid, and an electric current of density
is maintained in the third mutually perpendicular direction. (a) Show that the difference of pressure between a point in the liquid on a vertical plane through
and a point in the liquid on another vertical plane through
, under conditions in which the liquid is prevented from flowing, is \(\Delta p=J I B\) (b) What current density is needed to provide a pressure difference of
atm between these two points if
and
Equation transcription:
Text transcription:
Delta p=J I B
Questions & Answers
QUESTION:
The Electromagnetic Pump. 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 the damage to the cells that can be caused by a mechanical pump. A horizontal tube with rectangular cross section (height , width
) is placed at right angles to a uniform magnetic field magnitude
so that a length
is in the field (Fig. P27.90). The tube is filled with a or blood conducting liquid, and an electric current of density
is maintained in the third mutually perpendicular direction. (a) Show that the difference of pressure between a point in the liquid on a vertical plane through
and a point in the liquid on another vertical plane through
, under conditions in which the liquid is prevented from flowing, is \(\Delta p=J I B\) (b) What current density is needed to provide a pressure difference of
atm between these two points if
and
Equation transcription:
Text transcription:
Delta p=J I B
ANSWER:Solution 90CP
Step 1
