DETAILS SERPSE8 23.P.034. The electric field along the axis of a uniformly charged disk of radius R and total charge Q is given below. E,-2nk, e1- Show that the electric field at distances x that are large compared with R approaches that of a particle with charge Q oRR Suggestion: First show that x/(x + R)/2- (1 + Ry12, and use the binomial expansion (1 sy1+ nổ when &«1. (Do this on paper. Your instructor may ask you to turn in this work.)

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DETAILS
SERPSE8 23.P.034.
MY NOTES
ASK YOUR TEACHER
The electric field along the axis of a uniformly charged disk of radius R and total charge Q is given below.
E, 2nk, o1-
( + R)
Show that the electric field at distances x that are large compared with R approaches that of a particle with charge Q= oAR.
Suggestion: First show that x/(x + R)/2 = (1+ R/x)1/2, and use the binomial expansion (1 + Sy 1 + nổ when & «1. (Do this
on paper. Your instructor may ask you to turn in this work.)
Transcribed Image Text:1. DETAILS SERPSE8 23.P.034. MY NOTES ASK YOUR TEACHER The electric field along the axis of a uniformly charged disk of radius R and total charge Q is given below. E, 2nk, o1- ( + R) Show that the electric field at distances x that are large compared with R approaches that of a particle with charge Q= oAR. Suggestion: First show that x/(x + R)/2 = (1+ R/x)1/2, and use the binomial expansion (1 + Sy 1 + nổ when & «1. (Do this on paper. Your instructor may ask you to turn in this work.)
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