PHYS 102 – Quiz Problems
Chapter 25 : Capacitors
Dr. M. F. Al-Kuhaili
1. (TERM 002)
Four capacitors are connected as shown in the figure.
(a) Find the equivalent capacitance between points a and b.
(b) Calculate the charge on each capacitor if a potential difference of 15 V is applied between points a and b.
2. (TERM 002)
(a) Determine the equivalent capacitance for the capacitor configuration shown in the figure.
(b) If the configuration is connected to a 12 V battery, calculate the potential difference across each capacitor.
3. (TERM 002)
For the system of capacitors shown in the figure, find
(a) the equivalent capacitance of the system.
(b) the potential across each capacitor.
4. (TERM 002)
A parallel plate capacitor in air has a plate separation of 1.50 cm and a plate area of 25.0 cm2. The plates are charged to a
potential difference of 250 V and disconnected from the source. The space between the plates is then filled with a
dielectric (κ = 80).
(a) Calculate the capacitance before and after the insertion of the dielectric.
(b) Determine the voltage after insertion of the dielectric.
(c) Determine the change in the energy stored in the capacitor.
5. (TERM 012)
Consider the system of capacitors shown in the figure.
Take C1 = 10.0 µF, C2 = 5.00 µF, C3 = 4.00 µF and V = 100 V.
(a) Find the equivalent capacitance of the system.
(b) Find the charge stored in C3.
(c) Find the total energy stored by the system.
6. (TERM 012)
Consider the system of capacitors shown in the figure.
(a) Find the equivalent capacitance of the system.
(b) Find the potential difference across the 3.0-µF capacitor.
7. (TERM 012)
Capacitors C1 = 6 µF and C2 = 2 µF are charged as a parallel combination across a 250-V battery. The capacitors are
disconnected from the battery and from each other. They are then connected positive plate of 1 to negative plate of 2 and
negative plate of 1 to positive plate of 2.Calculate the resulting charge on each capacitor.
8. (TERM 021)
Two capacitors when connected in parallel give an equivalent capacitance of 9.0 nF and an equivalent capacitance of 2.0
nF when connected in series. What is the capacitance of each capacitor?
9. (TERM 021)
In the circuit shown, C1 = 4.0 µF, C2 = 6.0 µF, V = 10 V. What is the energy stored in C1?
10. (TERM 022)
Two capacitors are connected as shown in the figure. C1 = 6.00 µF and C2 = 4.00 µF. The two capacitors are charged
using a 50.0-V battery.
(a) Calculate the equivalent capacitance of C1 and C2.
(b) What is the charge on each capacitor?
(c) What is the potential difference across each capacitor?
(d) What is the energy stored by the two capacitors?
11. (TERM 022)
Two capacitors are connected as shown in the figure. C1 = 6.00 µF and C2 = 4.00 µF. The two capacitors are
charged using a 50.0-V battery.
(a) Calculate the equivalent capacitance.
(b) What is the charge on each capacitor?
(c) What is the energy stored by the two capacitors?
12. (TERM 022)
Three capacitors, with capacitances 8.00 µF, 10.0 µF and 14.0 µF, are connected to the terminals of a 12-V battery.
(a) Calculate the energy stored by the capacitors if they are connected in series.
(b) Calculate the energy stored by the capacitors if they are connected in parallel.
13. (TERM 033)
In the figure below: C1 = 12.0 µF, C2 = 8.00 µF, C3 = 6.00 µF and V = 12.0 V.
(a) Find the equivalent capacitance of the combination.
(b) Find the charge on each capacitor.
14. (TERM 042)
In the circuit shown below: C1 = 3.00 µF, C2 = 5.00 µF, C3 = 8.00 µF, C4 = 6.00 µF, and V = 28.0 V.
(a) Calculate the equivalent capacitance of the combination.
(b) Calculate the potential difference across C4.
15. (TERM 042)
In the circuit shown below: C1 = 3.00 µF, C2 = 5.00 µF, C3 = 8.00 µF, and V = 12.0 V.
(a) Calculate the equivalent capacitance of the combination.
(b) Calculate the potential difference across capacitor C .
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16. (TERM 042)
When a 360-nF capacitor is connected to a battery, the energy stored in it is 18.5 µJ. While the capacitor is kept connected
to the battery, a dielectric material is inserted between the plates of the capacitor, filling the space between its plates
completely. After the insertion of the dielectric, the stored energy becomes 4.17 µJ.
(a) What is the potential difference between the capacitor plates?
(b) What is the dielectric constant (κ) of the dielectric?
17. (TERM 052)
A parallel-plate capacitor consists of two flat metallic plates, each having an area of 6.75 × 10-3 m2. The separation
between the plates is 1.20 mm. A potential difference of 12.0 V is applied to the capacitor.
(a) What is the capacitance of the capacitor?
(b) What is the magnitude of the charge on each plate?
(c) What is the electric potential energy stored in the capacitor?
(d) What is the electric field between the two plates?
18. (TERM 052)
In the figure below: C1 = 15.0 µF, C2 = 10.0 µF, C3 = 4.0 µF, and the applied potential is V = 25.0 V.
(a) What is the equivalent capacitance of the combination?
(b) Calculate the charge, potential difference and stored energy in capacitor C2.
19. (TERM 052)
In the figure below, two air-filled parallel-plate capacitors are connected to a battery. Capacitor 1 has a plate area of 2.0 ×
10-4 m2 and an electric field (between the plates) of magnitude 2000 V/m. Capacitor 2 has a plate area of 8.0 × 10-5 m2 and
an electric field of magnitude 1200 V/m. What is the total charge on the two capacitors?
20. (TERM 061)
A 2.0 µF capacitor and a 4.0 µF capacitor are connected in parallel across a 12 V potential difference. Calculate the total
energy stored in the capacitors.
21. (TERM 061)
Two identical capacitors are connected in series as shown below. The energy stored in the combination is 1.5 µJ.
a) What is the value of the capacitance of each capacitor?
b) How much charge is stored on each capacitor?
22. (TERM 061)
A potential difference V = 10 V is applied to a parallel-plate capacitor C = 1 pF whose faces have an area of 1 cm2.
a) What is the spacing between the two plates of the capacitor?
b) What is the magnitude of the electric field between the plates?
c) How much charge is stored in the capacitor?
d) How much energy is stored in the capacitor?
23. (TERM 062)
A capacitor has a capacitance of C1 = 1.0 × 10-10 F. The capacitor is charged to a potential difference of 12 V, and the
charging battery is disconnected. Then, the capacitor is connected in parallel with a second (initially uncharged) capacitor.
If the potential difference across the first capacitor drops to 7.5 V, what is the capacitance of this second capacitor?
24. (TERM 062)
The plates of a parallel plate capacitor have an area of 2.2 × 10-4 m2 and a plate separation of 1.0 × 10-3 m. The capacitor is
connected to a 9.0-V battery.
a) What is the capacitance of the capacitor?
b) How much charge is stored by the capacitor?
c) What is the magnitude of the electric field between the plates?
d) How much electric energy is stored by the capacitor?
25. (TERM 062)
Consider the capacitor arrangement shown in the figure below with C1 = 3.0 µF, C2 = 6.0 µF, and C3 = 3.0 µF. An 8.0-V
battery is applied to this combination of capacitors.
a) What is the equivalent capacitance of the combination?
b) How much total charge is stored by the combination?
c) What is the total electric energy stored by the combination?
26. (TERM 063)
For the system of capacitors shown in the figure: C1 = C2 = 2.0 µF, and C3 = C4 = 3.0 µF.
(a) Find the equivalent capacitance of the system.
(b) Find the charge on each capacitor.
(c) Find the potential difference across each capacitor.
(d) Find the total energy stored by the combination.
27. (TERM 063)
Consider the system of capacitors shown in the figure.
Take C1 = 10.0 µF, C2 = 5.00 µF, C3 = 4.00 µF and V = 100 V.
(a) Find the equivalent capacitance of the system.
(b) Find the charge on each capacitor.
(c) Find the potential difference across each capacitor.
(d) Find the total energy stored by the system.
28. (TERM 071)
A parallel plate capacitor has an area of 1.0 × 10-4 m2 and a plate separation of 5.0 × 10-4 m. The capacitor is filled
completely with a dielectric of dielectric constant 3.5, and the charge on the capacitor is 7.2 × 10-11 C.
(a) What is the capacitance of the capacitor?
(b) What is the potential difference between the two plates?
(c) What is the energy stored in the capacitor?
29. (TERM 071)
In the figure shown below: C1 = 3.0 µF, C2 = 6.0 µF, and V = 12 V.
(a) What is the equivalent capacitance?
(b) What is the total energy stored by the capacitors?
30. (TERM 071)
In the figure shown below: C1 = 3.0 × 10-6 F, C2 = 6.0 × 10-6 F, and V = 12 V.
(a) What is the equivalent capacitance?
(b) What is the total energy stored by the capacitors?