329sp08hw2 - ECE 329 Homework 2 Due: Jan 28, 2008, 5PM 1....

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Unformatted text preview: ECE 329 Homework 2 Due: Jan 28, 2008, 5PM 1. In this problem we will compare the magnitudes of electrical force q E and magnetic force q v B on a moving test charge q due to fields E and B produced by another charge Q at some distance r . a) Let E be the static Coulomb field of Q with magnitude Q 4 o r 2 . Also let B the magnetic field calculated using Biot-Savart law with a maximum magnitude o I | d l | 4 r 2 where for I | d l | we can use QV s , where V s denotes the speed of charge Q when it is moving to produce B . Denoting the speed of the test charge as v q , show that the magnetic force on q can be as strong as the electric force only in the limit when the product of v q and V s approaches c 2 1 o o , where c 3 10 8 m/s. Hint: what is the expression for the largest possible magnitude for the ratio of q v q B and q E ? b) The result of part (a) shows that magnetic force is typically much weaker than the electro- static force (when elementary sources are considered one at a time). Why then are magneticstatic force (when elementary sources are considered one at a time)....
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This note was uploaded on 04/14/2009 for the course ECE 329 taught by Professor Franke during the Spring '08 term at University of Illinois at Urbana–Champaign.

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329sp08hw2 - ECE 329 Homework 2 Due: Jan 28, 2008, 5PM 1....

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