8.1 Capacitors and Capacitance

The capacitance of a parallel-plate capacitor is 2.0 pF. If the area of each plate is $2.4 \text{cm}^{2}$, what is the plate separation?

The radius of the outer sphere of a spherical capacitor is five times the radius of its inner shell. What are the dimensions of this capacitor if its capacitance is 5.00 pF?

When a cylindrical capacitor is given a charge of 0.500 nC, a potential difference of 20.0 V is measured between the cylinders. (a) What is the capacitance of this system? (b) If the cylinders are 1.0 m long, what is the ratio of their radii?

Does the capacitance of a device depend on the applied voltage? Does the capacitance of a device depend on the charge residing on it?

The value of the capacitance is zero if the plates are not charged. True or false?

Does the capacitance of a spherical capacitor depend on which sphere is charged positively or negatively?

What charge is stored in a $180.0 - \mu \text{F}$ capacitor when 120.0 V is applied to it?

Calculate the voltage applied to a $2.00 - \mu \text{F}$ capacitor when it holds $3.10 \mu \text{C}$ of charge.

What capacitance is needed to store $3.00 \mu \text{C}$ of charge at a voltage of 120 V?

The plates of an empty parallel-plate capacitor of capacitance 5.0 pF are 2.0 mm apart. What is the area of each plate?

A set of parallel plates has a capacitance of $5.0 \mu \text{F}$. How much charge must be added to the plates to increase the potential difference between them by 100 V?

If the capacitance per unit length of a cylindrical capacitor is 20 pF/m, what is the ratio of the radii of the two cylinders?