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The electric field along the axis of a uniformly charged disk of radius R and total...

The electric field along the axis of a uniformly charged disk of radius R and total charge Q is given below. Ex = 2πkeσ 1 − x (x2 + R2)1/2 Show that the electric field at distances x that are large compared with R approaches that of a particle with charge Q = σπR2. Suggestion: First show that x (x2 + R2)1/2 = 1 + R2 x2 −1/2 , and use the binomial expansion (1 + δ)n ≈ 1 + nδ when δ ≪ 1. (Submit a file with a maximum size of 1 MB.)
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