# The reciprocating generator of Figure has a movable plunger (position x) which is supported so that it can slide in

## Question:

The reciprocating generator of Figure has a movable plunger (position x) which is supported so that it can slide in and out of the magnetic yoke while maintaining a constant air gap of length g on each side adjacent to the yoke. Both the yoke and the plunger can be considered to be of infinite permeability. The motion of the plunger is constrained such that its position is limited to O There are two windings on this magnetic circuit. The first has N1 turns and carries a constant dc current I0. The second which has N2 turns, is open-circuited and can be connected to a load.

a. Neglecting any fringing effects, find the mutual inductance between windings 1 and 2 as a function of the plunger position x.

b. The plunger is driven by an external source so that its motion is given by where e

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