Two identical metal balls of radius $r$ are at a distance $a (a >> r)$ from each other and are charged, one with potential $V_1$ and other with potential $V_2$. The charges $q_1$ and $q_2$ on these balls in $CGS$ esu are
Two identical metal balls of radius $r$ are at a distance $a (a >> r)$ from each other and are charged, one with potential $V_1$ and other with potential $V_2$. The charges $q_1$ and $q_2$ on these balls in $CGS$ esu are
- A
${q_1} = \frac{{r{V_1} + a{V_1}}}{{{r^2} + {a^2}}},{q_2} = \frac{{r{V_1} + a{V_2}}}{{{r^2} + {a^2}}}$
- B
${q_1} = \frac{1}{k}\left( {\frac{{r{V_2} - a{V_1}}}{{{r^2} - {a^2}}}} \right)ra,{q_2} = \frac{1}{k}\left( {\frac{{r{V_1} - a{V_2}}}{{{r^2} - {a^2}}}} \right)ra$
- C
${q_1} = \frac{{a{V_2}}}{{k\left( {{r^2} - {a^2}} \right)}},{q_2} = \frac{{r{V_1}}}{{k\left( {{r^2} - {a^2}} \right)}}$
- D
${q_1} = \frac{{r{V_1}}}{{k\left( {{r^2} - {a^2}} \right)}},{q_2} = \frac{{r{V_2}}}{{\left( {{r^2} - {a^2}} \right)k}}$
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