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Question

A metal sphere A of radius r1 charged to a potential ϕ1 is enveloped by a thin walled conducting spherical shell B of radius r2. Then potential ϕ2 of the sphere A after it is connected to the shell B by a thin conducting wire will be :-
1302862_6a974e610bef4631b704ecf797c5d74e.png

A
ϕ1r1r2
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B
ϕ1(r2r1)
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C
ϕ1(1r2r1)
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D
qϕ1(r1r2r1+r2)
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Solution

The correct option is A ϕ1r1r2
The charge q1 can be obtained form
q1=uπϵ0ϕ1r1
After the connection the entire charge q1 will
How form the sphere to the enveloped and
will be distributed uniformly overs its surface
ϕ2=q1uπϵ0r2=ϕ1r1r2

1239074_1302862_ans_207c19a5d7cd4284980c0e33b8b1c134.png

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