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1. Electric Charges and Fields
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The figure shows two parallel equipotential surfaces $A$ and $B$ kept a small distance $r$ apart from each other. $A$ point charge of $q$ coulomb is taken from the surface $A$ to $B$. The amount of net work done will be

A
$ - \frac{1}{{4\pi {\varepsilon _0}}}\frac{q}{r}$
B
$ \frac{1}{{4\pi {\varepsilon _0}}}\frac{q}{r^2}$
C
$- \frac{1}{{4\pi {\varepsilon _0}}}\frac{q}{r^2}$
D
Zero
Solution
${\rm{W}} = {\rm{q}}\left( {{{\rm{V}}_{\rm{A}}} – {{\rm{V}}_{\rm{B}}}} \right) = {\rm{q}} \times 0 = 0$ ( ${{{\rm{V}}_{\rm{A}}} = {{\rm{V}}_{\rm{B}}}},$ equipotential)
Standard 12
Physics
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