The magnetic circuit of figure consists of a core and a

The magnetic circuit of figure consists of a core and a

The magnetic circuit of figure consists of a core and a moveable plunger of width lp, each of permeability µ. The core has cross-sectional area A and means length Ac. The overlap area of the two air gaps Ag is a function of the plunger position x and can be assumed to vary as you may neglect any fringing fields at the air gap and use approximations consistent with magnetic-circuit analysis.
a. Assuming that µ ? 8, derive an expression for the magnetic flux density in the air gap Bg as a function of the winding current I and as the plunger position is varied (0 < x=””>< 0.8=”” x0).=”” what=”” is=”” the=”” corresponding=”” flux=”” density=”” in=”” the=””>
b. Repeat part (a) for a finite permeability µ.

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