hw5 - Phys 3327 Fall 2010 HW 5 Due Wednesday 10/6/10 in...

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Phys 3327 Fall 2010 HW 5 Due Wednesday 10/6/10 in lecture Homework 5 Dynamic Electromagnetism Ex. 5.1: Capacitor Consider a parallel-plate capacitor consisting of two large parallel perfectly conducting discs a distance d apart and separated by a vacuum. The discs have radius a . At time t = 0, the capacitor is connected to a battery, such that a constant current i starts to ±ow onto the upper plate. (The same current ±ows out of the lower plate.) When answering the questions below you may neglect edge effects. You may give all your answers to leading order in the small ratio a/ct . a) What are the electric and magnetic ²elds in the space between the capacitor plates, as a function of time? Be sure to specify magnitude and direction. b) Calculate the total ²eld energy density for the space between the capacitor plates. Do the electric and magnetic ²elds contribute equally to the energy density? Hint: use the inequality
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This note was uploaded on 12/04/2010 for the course PHYS 3327 at Cornell University (Engineering School).

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hw5 - Phys 3327 Fall 2010 HW 5 Due Wednesday 10/6/10 in...

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