Question

Two metallic spheres of radii 2 cm and 6 cm are given charge $3\times {10}^{-2}C$ and $7\times {10}^{-2}C$, respectively. If these are connected by a conducting wire, the final charge on the bigger sphere is

Answer 1

Charge flows from higher potential to low potential

$\frac{K{Q}_1}{6}=\frac{K{Q}_2}{2}$

$Q_1=3Q_2$

Also,

$Q_1+Q_2=10\times {10}^{-2}C$

$4Q_2=10\times {10}^{-2}C$

$Q_2=2.5\times {10}^{-2}C$

$Q_1=7.5\times {10}^{-2}C$