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  4. A conducting sphere A having a radius a is charged to a potential V1 . Now it is surrounded by another conducting spherical shell of the radius b . The potential V2 acquired by the sphere A after it is connected to shell B by a thin conducting wire is -

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Q. A conducting sphere $A$ having a radius a is charged to a potential $V_{1}$ . Now it is surrounded by another conducting spherical shell of the radius $b$ . The potential $V_{2}$ acquired by the sphere $A$ after it is connected to shell $B$ by a thin conducting wire is -

NTA AbhyasNTA Abhyas 2020Electrostatic Potential and Capacitance

Solution:

Solution
$V_{1} \, = \, \frac{K q}{a}$
$V_{2} \, = \, \frac{K q ′}{b} \, = \, \frac{K q}{b}$
$= \, \frac{K V_{1} a}{K b} \, = \, \frac{V_{1} a}{b}$