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What is the electric field at the centre of a hollow conducting sphere of radius $R$ carrying total charge $Q$?

A$0$
B$\dfrac{kQ}{R^2}$
C$\dfrac{kQ}{R^3}$
D$\dfrac{kQ}{R}$
Answer & Solution
Correct answer: A. $0$
Inside any closed conducting shell with all charge residing on its outer surface, Gauss's law applied to a sphere of radius $r < R$ encloses zero charge so $E = 0$ everywhere inside the cavity.
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