Question

The charge in an isolated conductor is 10C and the potential on its surface is 50V. What is the capacitance of the conductor?

• A. $5F$
• B. $\frac{1}{5}F$
• C. $500F$
• D. None of these

Answer 1

The correct option is B $\frac{1}{5}F$

See, the capacitance of a conductor is defined to be $C=\frac{Q}{V}$, where Q is the charge on the conductor and V is the potential on its surface. So, all we need is to divide the charge by the potential. $C=\frac{10}{50}=\frac{1}{5}F$