Exam 26: Capacitance and Dielectrics

A 3.0-μF capacitor charged to 40 V and a 5.0-μF capacitor charged to 18 V are connected to each other, with the positive plate of each connected to the negative plate of the other. What is the final charge on the 3.0-μF capacitor?

A parallel plate capacitor of capacitance C₀ has plates of area A with separation d between them. When it is connected to a battery of voltage V₀, it has charge of magnitude Q₀ on its plates. While it is connected to the battery the space between the plates is filled with a material of dielectric constant 3. After the dielectric is added, the magnitude of the charge on the plates and the potential difference between them are

What is the equivalent capacitance of the combination shown?

Determine the equivalent capacitance of the combination shown when C = 12 pF.

Which of the following materials has the highest dielectric constant?

Into the gap between the plates of a parallel plate capacitor of capacitance a slab of metal is inserted halfway between the plates filling one fourth of the gap between the plates. What is the resulting new capacitance?

A parallel plate capacitor of capacitance C₀ has plates of area A with separation d between them. When it is connected to a battery of voltage V₀, it has charge of magnitude Q₀ on its plates. It is then disconnected from the battery and the plates are pulled apart to a separation 2d without discharging them. After the plates are 2d apart, the magnitude of the charge on the plates and the potential difference between them are

Determine the energy stored in the 40-μF capacitor.

An electron is released from rest at the negative plate of a parallel plate capacitor. If the distance between the plates is 5 mm and the potential difference across the plates is 5 V, with what velocity does the electron hit the positive plate? (m_e = 9.1 × 10−³¹ kg, q_e = 1.6 × 10−¹⁹ C.)

A 6.0-μF capacitor charged to 50 V and a 4.0-μF capacitor charged to 34 V are connected to each other, with the two positive plates connected and the two negative plates connected. What is the total energy stored in the 6.0-μF capacitor at equilibrium?

Determine the equivalent capacitance of the combination shown when C = 24 μF.

A parallel plate capacitor is connected to a battery and charged to voltage V. Leah says that the charge on the plates will decrease if the distance between the plates is increased while they are still connected to the battery. Gertie says that the charge will remain the same. Which one, if either, is correct, and why?

What is the potential difference across C₂ when C₁ = 5.0 μF, C₂ = 15 μF, C₃ = 30 μF, and V₀ = 24 V?

A capacitor of unknown capacitance C is charged to 100 V and then connected across an initially uncharged 60-μF capacitor. If the final potential difference across the 60-μF capacitor is 40 V, determine C.

Determine the equivalent capacitance of the combination shown when C = 12 nF.

A 0.16 pF parallel-plate capacitor is charged to 10 V. Then the battery is disconnected from the capacitor. When 1.00 × 10⁷ electrons are now placed on the negative plate of the capacitor, the voltage between the plates changes by

Determine the equivalent capacitance of the combination shown when C = 15 mF.

If V_A − V_B = 50 V, how much energy is stored in the 54-μF capacitor?

Determine the energy stored in the 60-μF capacitor.

How much energy is stored in the 50-μF capacitor when V_a − V_b = 22V?