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Question

# A point charge q is placed inside a conducting spherical shell of inner radius 2R and outer radius 3R at a distance of R from the center of the shell. Find the electric potential at the center of the shell.

A
14πε0q2R
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B
14πε04q3R
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C
14πε05q6R
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D
14πε02q3R
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Solution

## The correct option is D 14πε05q6R Electric potential due to point charge =kqR Electric potential due to inner surface of shell =−kq2R and electric potential due to outer surface of shell =kq3R V=kqR−kq2R+kq3R=kqR[1−12+13] =k5q6R

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