Capacitors in parallel have the same voltage, but different charge stored. Capacitors in series have the same charge stored, but different voltages. Remember that if a capacitor are hooked up to the battery they will have the same voltage as the battery. If the capacitor is unhooked from a battery and other capacitors are attached to it, then the voltage can change but the total amount of charge must remain constant. Charge conservation holds that charge can not be created or destroyed. When solving problems involving capacitor circuits, we use the equation for the charge on a capacitor much like we use Ohm's Law.

#### Example 1

Two capacitors, one of

(a): To find the total capacitance, we'll use the equation give above for determining the equivalent capacitance of capacitors in series.

(b): Since charge is the same across capacitors in series, we can use the charge found using the total capacitance and the total voltage drop to find the charge in the

(c): Since we know the charge and the capacitance of

#### Example 2

The two capacitors used in the previous example problem are now connected to the battery in parallel. What is (a) the total capacitance and (b) the charge on

(a): To find the total capacitance, we'll us the equation given above for capacitors in parallel.

(b): Now, since the voltage across capacitors in parallel is equal, we can find the charge on

### Interactive Simulation

### Review

- You have two
42μF and one39μF all wired in parallel. Draw the schematic and calculate the total capacitance of the system . - You have two
42μF and one39μF all wired in series. Draw the schematic and calculate the total capacitance of the system . - Given a capacitor with
1cm between the plates a field of20,000N/C is established between the plates.- What is the voltage across the capacitor?
- If the charge on the plates is
1μC , what is the capacitance of the capacitor? - If two identical capacitors of this capacitance are connected in series what it the total capacitance?
- Consider the capacitor connected in the following circuit at point
B with two switchesS andT , a20Ω resistor and a120V power source:- Calculate the current through and the voltage across the resistor if
S is open andT is closed - Repeat if
S is closed andT is open

- Calculate the current through and the voltage across the resistor if

**Review (Answers)**

123μF 13.65μF - a.
200V b.5x10−9F c.2.5x10−9F d. i. No current will flow and the voltage will be zero ii. V = 120V; I = 6A