Exam 4: Capacitance

Use the following figure to answer the next five problems: -You connect three capacitors as shown in the diagram below. If the potential difference between A and B is 24.5 V, what is the total energy stored in this system of capacitors if C₁ = 5.0 µF, C₂ = 4.0 µF, and C₃ = 3.0 µF?

You connect three capacitors as shown in the diagram. C₁ = C₃ = 2.5 $\mu$ F, and C₂ = 5.0 $\mu$ F. A potential difference of 9.0 V is maintained between the terminals A and B. The voltage across on capacitor C₃ is approximately

The charge on each capacitor in a set of capacitors in series is

You connect two capacitors C₁ = 15 pF and C₂ = 30 pF in series across a 1.5-V battery. The potential difference across capacitor C₁ is approximately

An 80-nF capacitor is charged to a potential of 500 V. How much charge accumulates on each plate of the capacitor?

The capacitance of a parallel-plate capacitor is 24 $\mu$ F when the plates are separated by a material of dielectric constant 2.0. If this material is removed, leaving air between the plates, and the separation between the plates is tripled, the capacitance is

The equivalent capacitance of two capacitors in parallel is

The energy stored in a capacitor is directly proportional to

You make a homemade capacitor out of two flat circular metal plates, each of radius 5 cm, and hold them a distance of 1 cm apart. You then connect each plate to the terminals of a 6-V battery. What would be the capacitance of your capacitor?

Doubling the potential difference across a capacitor

A cardiac defibrillator can be used to help an erratic heartbeat in a regular fashion. A defibrillator contains a capacitor charged to a voltage of 6000 V with an energy storage of 200 J. Calculate the capacitance of the capacitor.

A capacitor is connected to a battery as shown. When a dielectric is inserted between the plates of the capacitor,

A capacitor, C₁ = 5.0 $\mu$ F, is charged up to 8 V. It is then connected to a second uncharged capacitor C₂ = 2.5 $\mu$ F. The charge on C₂ after the system has come to equilibrium is

When you insert a piece of paper ( $\kappa$ = 3.7) into the air between the plates of a capacitor, the capacitance

The voltage across each capacitor in a set of capacitors in parallel is

A potential of 12 V is applied across a parallel-plate capacitor which is constructed of square plates of side 10 cm and separation of 4.0 mm. A dielectric slab of constant $\kappa$ = 2.5 is inserted between the plates so that it completely fills the space. What is the bound surface charge density on the dielectric?

A parallel plate capacitor of area A = 30 cm² and separation d = 5 mm is charged by a battery of 60-V. If the air between the plates is replaced by a dielectric of $\kappa$ = 4 with the battery still connected, then what is the ratio of the initial charge on the plates divided by the final charge on the plates?

As the voltage in the circuit is increased (but not to the breakdown voltage), the capacitance

A capacitor is constructed by placing a conducting sphere of radius a concentrically inside a thin conducting spherical shell of radius b. Derive an expression for the capacitance of such a capacitor.

You want to store 10¹⁰ excess electrons on the negative plate of a capacitor at 9.0 V. How large a capacitance must you use?