(a) Find the flux linkage (2)-current (1) relationship för the winding in terms of x, u a. N and the dimensions of the magnetic circuit. (b) If the magnetic block is forced to move with a displacement given by x = xo +xjcos@x, find the voltage developed across the current source.
(a) Find the flux linkage (2)-current (1) relationship för the winding in terms of x, u a. N and the dimensions of the magnetic circuit. (b) If the magnetic block is forced to move with a displacement given by x = xo +xjcos@x, find the voltage developed across the current source.
Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Question
This is electromechanical energy conversion ..single excited system
![N turns
The figure illustrates a magnetic yoke with infinite permeability; and an air gap with
magnetic permeability 4, length g, and cross-sectional area Dw. An incompressible block with
length />> D, magnetic permeability u and cross-sectional area wg can move in the x direction
as shown. Both the magnetic block and the yoke can be assumed to have negligible electrical
conductivity. There is an N turn winding around the magnetic yoke driven by a DC current
source lo. Assume throughout that the position x of the moveable block is bounded as 0<x<D.
(a) Find the flux linkage (2)-current (i) relationship for the winding in terms of x, µ uo. N and the
dimensions of the magnetic circuit.
(b) If the magnetic block is forced to move with a displacement given by x = xo +xcosar, find the
voltage developed across the current source.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe1271d98-5ba0-46fb-91cc-3b200bad39d7%2F6fc5a4c1-31c8-4a82-9f81-9e18b20e4fa8%2Fpr1hbs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:N turns
The figure illustrates a magnetic yoke with infinite permeability; and an air gap with
magnetic permeability 4, length g, and cross-sectional area Dw. An incompressible block with
length />> D, magnetic permeability u and cross-sectional area wg can move in the x direction
as shown. Both the magnetic block and the yoke can be assumed to have negligible electrical
conductivity. There is an N turn winding around the magnetic yoke driven by a DC current
source lo. Assume throughout that the position x of the moveable block is bounded as 0<x<D.
(a) Find the flux linkage (2)-current (i) relationship for the winding in terms of x, µ uo. N and the
dimensions of the magnetic circuit.
(b) If the magnetic block is forced to move with a displacement given by x = xo +xcosar, find the
voltage developed across the current source.
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