Derive the same result obtained in Example 18.11, using equation 18.46 and the definition of inductance given in equation 18.30. You will first compute the inductance of the magnetic circuit as a function of the reluctance, then compute the stored magnetic energy, and finally write the expression for the magnetic force given in equation 18.46.
Example 18.11
Analyze the current response of the solenoid of Example 18.10 to a step change in excitation voltage. Plot the force and current as a function of time.
Example 18.10
Figure 18.40 depicts a simplified representation of a solenoid. The restoring force for the plunger is provided by a spring.
1. Derive a general expression for the force exerted on the plunger as a function of the plunger position x.
2. Determine the mmf required to pull the plunger to its end position (x = a).
Assumptions:
The reluctance of the iron is negligible, Neglect fringing
At x=0 , the plunger is in the gap by an infinitesimal displacement E
Analysis:
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