a) In this experiment you are measuring the change of potential AV over small displacement Ar. In the limit Ar 0, AV/Ar would give you the derivative of V with respect to r, which is the radial component of the electric field, E, (strictly speaking, with the minus sign). Take the natural logarithm of both sides of to show that In() can be represented as a linear function of In(7), In(A) = a In(r) + b. What are the constants a and b in terms of C and n?¹ AV Ar

a) In this experiment you are measuring the change of potential AV over small displacement Ar. In the limit Ar 0, AV/Ar would give you the derivative of V with respect to r, which is the radial component of the electric field, E, (strictly speaking, with the minus sign). Take the natural logarithm of both sides of to show that In() can be represented as a linear function of In(7), In(A) = a In(r) + b. What are the constants a and b in terms of C and n?¹ AV Ar

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter6: Gauss's Law

Section: Chapter Questions

Problem 86AP: Two non-conducting spheres of radii R1 and R2 are uniformly charged with charge densities p1 and p2...

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