EE321, Spring 08 Homework 4Problem 16Wc1252 cos 2θrm⋅()+()⋅i2⋅=Te2−sin 2θrm⋅()i2⋅=Problem 17Pλ1Pi20.8 i1⋅i20.2−⋅5x+=Pλ2Pi13 i20.8⋅5x+=where P is used for partial. Clearly the two partial derivatives are not equal andso the system description is not feasibleProblem 18We may express the system asλ1λ2⎛⎜⎜⎝⎞⎟⎟⎠575x2+75x2+2⎛⎜⎜⎜⎜⎝⎞⎟⎟⎟⎟⎠i1i2⎛⎜⎜⎝⎞⎟⎟⎠⋅=which is of the formλ1λ2⎛⎜⎜⎝⎞⎟⎟⎠Li1i2⎛⎜⎜⎝⎞⎟⎟⎠⋅=where L is independent of both current and flux linkage. Thus, this systemis magnetically linear.
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