Exam 26: Capacitance and Dielectrics

An initially uncharged parallel plate capacitor of capacitance C is charged to potential V by a battery.The battery is then disconnected.Which statement is correct?

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 space between the plates is filled with a material of dielectric constant 3.After the dielectric is added,the magnitudes of the charge on the plates and the potential difference between them are

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

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

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. )

Regarding the Earth and a cloud layer 800 m above the Earth as the "plates" of a capacitor,calculate the capacitance if the cloud layer has an area of 1.0 km².If an electric field of 2.0 × 10⁶ N/C makes the air break down and conduct electricity (lightning),what is the maximum charge the cloud can hold?

What total energy is stored in the group of capacitors shown if the potential difference V_ab is equal to 50 V?

A 30-μF capacitor is charged to an unknown potential V₀ and then connected across an initially uncharged 10-μF capacitor.If the final potential difference across the 10-μF capacitor is 20 V,determine V₀.

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 new capacitance are

If C = 10 μF,what is the equivalent capacitance for the combination shown?

Determine the charge stored by C₁ when C₁ = 20 μF,C₂ = 10 μF,C₃ = 30 μF,and V₀ = 18 V.

A 30-μF capacitor is charged to 80 V and then connected across an initially uncharged capacitor of unknown capacitance C.If the final potential difference across the 30-μF capacitor is 20 V,determine C.

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

Determine the equivalent capacitance of the combination shown when C = 45 μF.

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

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

What is the equivalent capacitance of the combination shown?

An electric dipole having dipole moment of magnitude p is placed in a uniform electric field having magnitude E.What is the magnitude of the greatest change in potential energy that can happen for this dipole in this field?

A 15-μF capacitor is charged to 40 V and then connected across an initially uncharged 25-μF capacitor.What is the final potential difference across the 25-μF capacitor?

When a capacitor has a charge of magnitude 80 μC on each plate the potential difference across the plates is 16 V.How much energy is stored in this capacitor when the potential difference across its plates is 42 V?