Question:

Which one of the following graphs represents the variation of electric field with distance $r$ from the center of a charged spherical conductor of radius $R$?

Updated On: Jul 14, 2022

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The Correct Option is C

Solution and Explanation

Electric field due to a hollow spherical conductor is governed by the following equation $E=0$ for $r< R \ldots$ (i) and $E=\frac{Q}{4 \pi \varepsilon_{0} r^{2}}$ for $r \geq R$ ie, inside the conductor field will be zero and outside the conductor field will vary according to $E \propto \frac{1}{r^{2}}$

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Concepts Used:

Electric Field

Electric Field is the electric force experienced by a unit charge.

The electric force is calculated using the coulomb's law, whose formula is:

\(F=k\dfrac{|q_{1}q_{2}|}{r^{2}}\)

While substituting q₂ as 1, electric field becomes:

\(E=k\dfrac{|q_{1}|}{r^{2}}\)

SI unit of Electric Field is V/m (Volt per meter).