assignment2

assignment2 - 1 ASSIGNMENT 2 Question 1 A where A is the...

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1 ASSIGNMENT 2 Question 1 The formula of a capacitor is x A C ε = where A is the area of the plates enclosing the dielectric ε between the separation x . Derive the formula of the force e f acting on the plates based on electrostatic energy W e . Consider a conservative surface enclosing the capacitor. The electrical power input is vi where v is the voltage across the capacitor C and dt dq i = is the current of the capacitor v q C = . The mechanical power output is dt dx f e . The rate of change of the electrostatic energy W e is dt dx f vi dt dW e e = dt dx f dt dq v dt x q dW e e = ) , ( Follow the step-by-step derivation of magnetic energy and magnetic force in the class notes to derive a formula of electrostatic energy and electrostatic force. Question 2 Derive the formula of electrostatic co-energy ) , ( 1 x v W e and electrostatic force. The transformation requires changing the state variable from q to v using: d( vq )= v d q + q d v Question 3 The stator iron is separated form the rotor iron an airgap g at mean radius R . The stack length is L . It is assumed that the permeability in the iron is iron μ = ∞ . The airgap has a permeability 0 7 4 10 π = (S.I. unites). In practical machines, g<<R and g<<L . The B -field

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assignment2 - 1 ASSIGNMENT 2 Question 1 A where A is the...

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