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 h, width w) is placed at right angles to a uniform magnetic field with magnitude B so that a 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 ∆?=???. 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 e 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 = JeB.

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College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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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 h, width w) is placed at right angles to a uniform magnetic field with magnitude B so that a 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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