Two metallic charged spheres whose radii are $20\,cm$ and $10\,cm$ respectively, have each $150\,micro - coulomb$ positive charge. The common potential after they are connected by a conducting wire is
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(a) Common potential $V = \frac{{{\rm{Total \,charge }}}}{{{\rm{Total \,capacitance}}}}$
$V = \frac{{150 \times {{10}^{ - 6}} \times 2}}{{4\pi {\varepsilon _0}(10 \times {{10}^{ - 2}} + 20 \times {{10}^{ - 2}})}} = 9 \times {10^6}\,V$
$V = \frac{{150 \times {{10}^{ - 6}} \times 2}}{{4\pi {\varepsilon _0}(10 \times {{10}^{ - 2}} + 20 \times {{10}^{ - 2}})}} = 9 \times {10^6}\,V$
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