Physics - Capacitor Question with Solution | TestHub

Between the inner shell and outer shell, the capacitance of the system is

${\mathrm{C}}_{\mathrm{AB}}=\frac{4{\mathrm{\pi \epsilon }}_0\mathrm{ab}}{\left(\mathrm{b}-\mathrm{a}\right)}$

Between the outer shell and infinity

${\mathrm{C}}_{\mathrm{B}\infty }=4{\mathrm{\pi \epsilon }}_0\mathrm{b}$

$\Rightarrow {\mathrm{C}}_{\mathrm{total}}=\frac{4{\mathrm{\pi \epsilon }}_0\mathrm{ab}}{\left(\mathrm{b}-\mathrm{a}\right)}+4{\mathrm{\pi \epsilon }}_0\mathrm{b}$