Physics

Problem

Two concentric spherical conducting shells have radii

a = 10\,\text{cm}

and

b = 20\,\text{cm}

. The inner shell is earthed, and the outer shell is given a charge

Q = 4\,\mu\text{C}

. Calculate the capacitance of the system and the potential of the outer sphere. (Take

\frac{1}{4\pi\varepsilon_{0}} = 9 \times 10^{9}\,\text{m/F}

)