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 $R$?
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).