Inside a conducting sphere with charge Q and radius R, the electric potential is given by V = and outside it is given by V = Using E, = - derive an expression for the magnitude of the electric field inside and outside the sphere. (Use the following as necessary: ke, Q, r and R.) (a) inside E, = (b) outside E(r > R) =

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter26: Electric Potential
Section26.3: Electric Potential Energy
Problem 26.2CE
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Inside a conducting sphere with charge Q and radius R, the electric potential is given by V = "ex and outside it is given by V = *ex. Using E, = -
dv
derive an expression for the magnitude of the
electric field inside and outside the sphere. (Use the following as necessary: ke, Q, r and R.)
(a) inside
E, =
(b) outside
E(r > R) =
Transcribed Image Text:Inside a conducting sphere with charge Q and radius R, the electric potential is given by V = "ex and outside it is given by V = *ex. Using E, = - dv derive an expression for the magnitude of the electric field inside and outside the sphere. (Use the following as necessary: ke, Q, r and R.) (a) inside E, = (b) outside E(r > R) =
Expert Solution
We calculate the negative potential gradient both outside and inside sphere to evaluate potential

a. Inside the sphere

Er=-dVdr=-ddrkeQR=0

So the field inside the sphere is zero

 

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