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JEE Main 2020 (3 Sep, Shift 1) · Electric Potential & Equipotentials

Electric Potential & Equipotentials question from JEE Main 2020 (3 Sep, Shift 1)

Q91JEE Main 2020 · 3 SEP · SHIFT 1Medium

Electric Potential & Equipotentials

Two isolated conducting spheres S1 and S2 of radius $\frac{2}{3}R$ and $\frac{1}{3}R$ have 12 $\mu$ C and –3 $\mu$ C charges, respectively, and are at a large distance from each other. They are now connected by a conducting wire. A long time after this is done the charges on S1 and S2 are respectively:

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Answer: (c)

Total charge $= 12 - 3 = 9\,\mu\text{C}$ .
Equal potential $\Rightarrow q \propto r$ : $q_1 : q_2 = \frac{2}{3}R : \frac{1}{3}R = 2 : 1$ .
$q_1 = 6\,\mu\text{C}$ , $q_2 = 3\,\mu\text{C}$
So the answer is (c).

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