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  4. Two isolated conducting spheres S1 and S2 of radius (2/3) R and (1/3) R have 12 μ C and -3 μ 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 S 1 and S 2 are respectively:

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Q. Two isolated conducting spheres $S_{1}$ and $S_{2}$ 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 $S _{1}$ and $S _{2}$ are respectively:

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Solution:

$\begin{array}{l} q_1+q_2=9 \mu c \\ \frac{K q_1}{\frac{2}{3} q}=\frac{k q_2}{\frac{1}{3} R} \\ q_1=2 q_2 \\ 3 q_2=9 \mu C \\ 3 q_2=9 \mu C \\ q_2=3 \mu C \\ q_1=6 \mu c \end{array}$