Concept #1: Solving Capacitor Circuits

Practice: What is charge and voltage across each capacitor below?

Example #1: Find Charge of One Capacitor (Simple)

Practice: What is the voltage of the battery below?

Practice: What is the charge on the 5 F capacitor? (hint: be careful with series vs parallel)

Consider the circuit shown in the sketch. When the capacitors have their final charges, what is the charge on C2?

Three capacitors are connected in the circuit as shown in the figure.
(a) What is the equivalent capacitance in the circuit?
(b) What is the energy stored in each capacitor?

Three capacitors are arranged as shown below. C1 = 3.0 x 10-6 F. C2 = 6.0 x 10-6 F and C3 = 5.0 x 10-6 F. When the capacitors have reached their final charges, the charge on C1 is q1 = 3.0 x 10-4 C. What is the voltage V2 across C2?

Four 4μF capacitors are connected into a square. A battery of unknown voltage is connected between the diagonal corners of the square. As a result, one of the 4μF capacitor is charged to 0.12μC.
a) Draw the schematic of the connection.
b) How much energy is stored in this 4 μF capacitor?
c) Find the total amount of charge provided by the battery.
d) Find the voltage of the battery.

Consider the circuit of capacitors shown below. The equivalent capacitance of the circuit is 9.0 μF.Determine the charge stored on the 4.0 μF capacitor. Assume that voltage across nodes A and B is 12 volts.

Find the charge out of the 10V battery in the circuit?
(a) 2.5 μC
(b) 48 μC
(c) 72 μC
(d) 96 μC

Three capacitors are connected to a 1 V battery as shown beloe. The capacitances are C1 = 3 F, C2 = 1 F and C3 = 5 F. Rank the capacitors according to the charge they store from largest to smallest.
a. Q 3 > Q 1 > Q 2
b. Q 1 > Q 2 = Q 3
c. Q 2 = Q 3 > Q 1
d. Q 1 = Q 2 = Q 3
e. Q 1 > Q 3 > Q 2

Three capacitors C1 = 4μF, C2 =8μF, and C3 = 6μF are connected across a 20 V battery as shown.
a) Find the voltage drop across C1.
b) Find the voltage drop across C2.
c) Find the voltage drop across C3.
d) Find the charge on across C2.
e) Find the charge on across C3.

Three capacitors C1 = 4µF, C2 = 8µF, and C3 = 6µF are connected across a 20V battery as shown.
Find the voltage drop across C1.
Find the voltage drop across C2.
Find the voltage drop across C3.
Find the charge on the capacitor C2.
Find the charge on the capacitor C3.