HW8 - ECE 134 Introductory Field Theory Fall 2010 Reading...

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ECE 134 Introductory Field Theory Fall 2010 Page 1 of 2 Reading Assignment: Cheng: Chapter 7, 8.1-8.5 Cartoon Guide: Chapters 23-24 Homework #8 Due: Monday 29 November 2010 1) It can be shown that the inductance of a length l of coaxial cable with a solid inner conductor of radius a and a thin outer conductor of radius b is approximately 0 1 ln 2 4 b L a μ π = + l Using this result, find the magnetostatic pressure on the outer conductor (force per unit area) under normal operation where the outer conductor is the return path for the current on the center conductor. Is this force attractive or repulsive? 2) Consider the transformer with the secondary terminated in a load resistance L R as shown. This as a real transformer with a coupling coefficient 1 k < . Assuming AC excitation at a frequency ω , derive the frequency-dependent voltage transformation ratio 2 1 ( )/ ( ) V V ω ω in terms of the turns ratio, coupling coefficient, and mutual inductance 1 2 m L k L L = between the primary
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