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Capacitors in Series and Parallel. 20.12. Capacitors. A device that stores electric charge Two parallel plates separated by some distance q = CV E = ½ CV 2 Unit: Farads (F) Circuit diagram. Parallel Capacitors. Add the charges of the capacitors q = q 1 + q 2 = C 1 V + C 2 V = C P V
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Capacitors • A device that stores electric charge • Two parallel plates separated by some distance • q = CV • E = ½ CV2 • Unit: Farads (F) • Circuit diagram
Parallel Capacitors • Add the charges of the capacitors • q = q1 + q2 = C1V + C2V = CPV • CP = C1 + C2
Series Capacitors • All capacitors in series store the same charge regardless of their capacitances • The charge stored in the first charges the second by induction • V = V1 + V2 = q/C1 + q/C2 = q/CS
Example • An electric circuit was accidentally constructed using a 5.0 F capacitor instead of the required 16 F value. What can a technician do to correct this circuit? • Add a 11 F capacitor in parallel with the first one.
Example 2 • You have three capacitors. How can you arrange them to give the greatest capacitance? • Parallel • Least capacitance? • Series
C2 C1 V C3 Example 3 • Determine the equivalent capacitance of the circuit shown if C1 = C2 = 2C3 = 12.5 F. • How much charge is stored on each capacitor when V = 45.0 V?
Practice Problems • Test your capacitance for these types of problems • 616 P86 – 89 • Total of 4 Problems