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hw10 - Phys 3327 Fall 2010 HW 10 Due Wednesday in lecture...

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Phys 3327 Fall 2010 HW 10 Due Wednesday 11/17/10 in lecture Homework 10 Retarded Potentials and Fields Radiation and Antennas Ex. 10.1: Lienard-Wiechert Potentials In class professor Cohen wrote down the formulas for the scalar and vector potentials. Work through section 8.3 of the book and derive the Lienard-Wiechert potentials filling in any calculation details that you think are missing from the book. This problem will be graded based on effort and we basically want you to show your level of understanding. Ex. 10.2: Li´ enard-Wichert Fields (Optional. Extra Credit 10pts) In class professor Cohen wrote down the Lienard-Wichert fields. Here you have a chance to derive them while getting some guidance. The potentials of a point charge q moving along a prescribed path r q ( t ) are Φ(r , t ) = q R - β · R , A ( r , r ) = R - β · R , where R = r - r q ( t ret ) and β = u q ( t ret ) /c , where u q is the velocity of the charge. The position r q and velocity u q of the charge are evaluated at the ”retarded tim” t ret . The retarded time is the unique time
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