Exam 26: Capacitance and Dielectrics

A 25-μF capacitor charged to 50 V and a capacitor C charged to 20 V are connected to each other,with the two positive plates connected and the two negative plates connected.The final potential difference across the 25-μF capacitor is 36 V.What is the value of the capacitance of C?

A 30-μF capacitor is charged to 40 V and then connected across an initially uncharged 20-μF capacitor.What is the final potential difference across the 30-μF capacitor?

Which of the following is not a capacitance?

Determine the energy stored by C₄ when C₁ = 20 μF,C₂ = 10 μF,C₃ = 14 μF,C₄ = 30 μF,and V₀ = 45 V.

A 20-μF capacitor charged to 2.0 kV and a 40-μF capacitor charged to 3.0 kV 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 20-μF capacitor after the two are so connected?

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?

The equivalent capacitance of the circuit shown below is

A 0.120 pF parallel-plate capacitor is charged to a potential difference of 10.0 V and then disconnected from the battery.A cosmic ray burst creates 1.00 × 10⁶ electrons and 1.00 × 10⁶ positive charges between the plates.If the charges do not recombine,but reach the oppositely charged plates,by how much is the potential difference between the capacitor plates reduced?

What is the total energy stored in the group of capacitors shown if the charge on the 30-μF capacitor is 0.90 mC?

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 new capacitance and the potential difference between the plates are

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

A 15-μF capacitor and a 30-μF capacitor are connected in series,and charged to a potential difference of 50 V.What is the resulting charge on the 30-μF capacitor?

The equivalent capacitance of the circuit shown below is

Which of the following statements is incorrect?

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 = 24 μF.

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

A 4.0-mF capacitor initially charged to 50 V and a 6.0-mF capacitor charged to 30 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 6.0-mF capacitor?

Determine the energy stored in C₂ when C₁ = 15 μF,C₂ = 10 μF,C₃ = 20 μF,and V₀ = 18 V.

The plates of a parallel plate capacitor of capacitance Are horizontal.Into the gap a slab of dielectric material with Is placed,filling the bottom half of the gap between the plates.What is the resulting new capacitance?