Exam 16: Electrical Energy and Capacitance

Two point charges of values +2.0 and +5.5 μC,respectively,are separated by 0.50 m.What is the potential energy of this 2-charge system? (k_e = 8.99 × 10⁹ N⋅m²/C²)

A 10.00-V battery is connected between two parallel metal plates 4.00 mm apart.What is the magnitude of the electric field between the plates?

A 20-μF capacitor is attached across a 1 000-V power supply.What is the net charge on the capacitor?

Two capacitors with capacitances of 2.0 μF and 0.40 μF,respectively,are connected in series.The system is connected to a 50-V battery.What electrical potential energy is stored in the 2.0-μF capacitor?

If C = 14 µF,what is the equivalent capacitance for the combination shown?

A proton (+1.6 × 10−¹⁹ C)moves 15.0 cm along the direction of an electric field of strength 3.0 N/C.The electrical potential difference between the proton's initial and ending points is:

A 0.75-μF capacitor is connected to a 400-V battery.Find the charge on the capacitor.

Two particles,each of charge 2.5 × 10^-19 C,are 4.8 × 10^-5 m apart.What is the change in potential energy if they are brought 2.4 × 10^-5 m closer together? (k_e = 8.99 × 10⁹ N·m²/C²)

Doubling the voltage across a parallel plate capacitor does not double which of the following?

Using a 1.5-mF capacitor,a 2.5-mF capacitor,and a 6.0-mF capacitor,which of the following capacitances cannot be made by a combination that uses all three?

Two capacitors with capacitances of 3.25 and 5.00 μF,respectively,are connected in parallel.The system is connected to a 55-V battery.What charge accumulates on the 3.25-μF capacitor?

A capacitor is attached across a battery and charged.Then the battery is removed leaving the capacitor charged.The positive lead of the capacitor is then connected to one lead of a previously uncharged identical capacitor,and then the other lead of the charged capacitor is connected to the other lead of the second capacitor.How does the energy E_o stored in the originally charged capacitor compare to the energy E_f stored in the connected capacitors?

Consider two charged spheres,one with charge +2 C and the other with −2 C.A proton (a positively charged particle)is at the point halfway between the spheres.What is not zero?

Find the electrical potential at 0.25 m from a point charge of 7.0 μC.(k_e = 8.99 × 10⁹ N⋅m²/C²)

Inserting a dielectric material between two charged parallel conducting plates,originally separated by air and disconnected from a battery,will produce what effect on the capacitor?

There is a hollow,conducting,uncharged sphere with a negative charge inside the sphere.Consider the electrical potential at the inner and outer surfaces of the sphere.Which of the following is true?

Case 1: An electron is released from rest in a uniform electric field.Case 2: A proton is released from rest in a uniform electric field of the same magnitude as in case 1.How does the electric potential energy of the charge-field system behave in these cases?

A solid metal sphere of radius r is inside a metal concentric spherical shell of inner radius 2r and outer radius 3r.A charge is place on the solid metal sphere and it is found that the potential at its surface is V​₁ (at r)and that the potential at the outer surface of the spherical shell is V​₃ (at 3r).In terms of V​₁ and V​₃,what is the potential at the inner surface of the metal shell (at 2r)?

Suppose two equipotential surfaces are the planes x = 3 m and x = 5 m.If the potential at the x = 3 m surface is 10 V and the potential at the x = 5 m surface is 50 V,what is the magnitude of the electric field between the two surfaces?

Very large capacitors have been considered as a means for storing electrical energy.If we constructed a very large parallel-plate capacitor of plate area 1.85 m² using paper (κ = 3.7)of thickness 1.5 mm as a dielectric,how much electrical energy would it store at a plate voltage of 1 500 V? (ε₀ = 8.85 × 10−¹² C²/N⋅m²)