A conducting spherical shell has an inner radius R;¡ and an outer radius Ro. 1) A charge Q is placed on the shell. Calculate the electric field E(r): a) for r> R. b) for R;
A conducting spherical shell has an inner radius R;¡ and an outer radius Ro. 1) A charge Q is placed on the shell. Calculate the electric field E(r): a) for r> R. b) for R;
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Question
Transcribed Image Text:A conducting spherical shell has an inner radius Rj and an outer radius Ro.
1)
A charge Q is placed on the shell. Calculate the electric field E(r):
a) for r> R.
b) for R;<r< Ro
c) for r< Rj.
d) Plot E(r) versus r.
Ro
Ri
Expert Solution
Step 1
Given,
the total charge on the spherical shell is
The inner radius of the shell is
The outer radius of the shell is
Then charge density will be
And according to gauss law, the electric flux passing through any closed surface is (for air medium) times the charge enclosed inside the surface. That is
And flux can be written in terms of the electric field as
Then
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