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Electric Field of a Point Charge and Thin Ring: A Comparative Analysis
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[QUOTE="etotheipi, post: 6337118"] Your expression looks fine to me, note that you don't even need to substitute in the linear density; since all charge elements ##dq## on the ring are identical, you can just integrate up the ##dq##'s from 0 to ##-q##. However I think you've jumped the gun a bit on the ##x\gg R## case. It might well turn out to be true, however can you think of any other way of simplifying that net field expression if ##\frac{R}{x}## is small? Especially the bit with the ##(x^2 + R^2)^{-\frac{3}{2}}##? [/QUOTE]
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Electric Field of a Point Charge and Thin Ring: A Comparative Analysis
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