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  • A point charge Q is placed outside a hollow conductor of radius R, at a distance  from its centre

A point charge Q is placed outside a hollow conductor of radius R, at a distance r(r>R) from its centre c. The electric field at the centre c of the conductor due to charges induced on it.

Option: 1

\text { prop to } r^2


Option: 2

\text { prop to } r^{-2}


Option: 3

\text { Prop. to\, \,r }


Option: 4

\text { Prop to } r^3


Answers (1)

best_answer


\mathrm{If \, \, \vec{E},\, \, is \, \, the\, \, electric\, \, field \, \, of \, \, charge\, \, Q \, \, at \, \, c \, \, and\, \, \vec{E},\, \, duce \, \, to\, \, indeed \, \, \, charge, then }\mathrm{\begin{aligned} & \vec{E}_1+\vec{E}_2=0 \\ & \vec{E}_2=-\vec{E}_1 \text { or } E_2=E_1 \\ & =\frac{1}{4 \pi t} \frac{Q}{r^2} \\ & \end{aligned} }

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