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
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−2Lcosθ)r^+2Lsinθθ^−(r2+rLcosθ+L2/4)3/2(r+2Lcosθ)r^−2Lsinθθ^} 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.