Thexand the y components are 21sin4xdxdErθε0λ=−πand 21cos4ydxdEr0λπ, respectively. We use as the variable of integration and substitute r= R/cos , tanxR=and dx= (R/cos2) d. The limits of integration are 0 and π/2 rad. Thus, 00000sincos444xEdRRRθθεεπ2λλλ=πππ∫and /2000cossin.4yRπλπ∫We notice that Ex= Eyno matter what the value of R. Thus, GEmakes an angle of 45° with the rod for all values of R. 33. Consider an infinitesimal section of the rod of length
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This note was uploaded on 06/07/2010 for the course PHYS 344 taught by Professor Bb during the Spring '10 term at The Petroleum Institute.