(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.

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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.
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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