Consider the plunger actuator of figure. Assume that the plunger

Consider the plunger actuator of figure. Assume that the plunger

Consider the plunger actuator of figure. Assume that the plunger is initially fully opened (g = 2.25 cm) and that a battery is used to supply a current of 2.5 A to the winding.
a. If the plunger is constrained to move very slowly (i.e., slowly compared to the electrical time constant of the actuator), reducing the gap g from 2.25 to 0.20 cm, how much mechanical work in joules will be supplied to the plunger?
b. For the conditions of part (a), how much energy will be supplied by the battery (in excess of the power dissipated in thecoil)?

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