Capacitors in Series and Parallel

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# Capacitors in Series and Parallel - PowerPoint PPT Presentation

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 in Series and Parallel

20.12

Capacitors
• A device that stores electric charge
• Two parallel plates separated by some distance
• q = CV
• E = ½ CV2
• 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