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Problem 32. Recalling that r^=cosθx^+sinθy^​ and θ^=−sinθx^+cosθy^​ verify that Equation (6) is correct. Using these in

Posted: Sun Nov 13, 2022 11:11 am
by answerhappygod
 1
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Problem 32. Recalling that r^=cosθx^+sinθy^​ and θ^=−sinθx^+cosθy^​ verify that Equation (6) is correct. Using these in (2) gives the unsightly expression, EP​=kq{(r2−rLcosθ+L2/4)3/2(r−2L​cosθ)r^+2L​sinθθ^​−(r2+rLcosθ+L2/4)3/2(r+2L​cosθ)r^−2L​sinθθ^​} This expression is correct but hard to interpret. It turns out that for r≫L this expression simplifies to a tidy expression that is easier to interpret. I'll do this in the next section.