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lecture12 - Capacitance(II Capacitance Capacitors in...

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Capacitance (II) Capacitance (II) Capacitors in circuits Electrostatic potential energy

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Capacitors in Circuits Capacitors in Circuits Symbols: or Capacitor  Battery  Switch   + + - -
Capacitor Combinations Capacitor Combinations A B Series A B Parallel What is the “effective capacitance ” between A & B?  A B +Q -Q charge held voltage difference eff C =

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Parallel Parallel C 1 C 2 C 3 A B V Q 1 -Q 1 Q 2 -Q 2 Q 3 -Q 3 Voltages are the same :    V 1 = V 2 = V 3 = … = V Charges add :   Q Q Q Q = + + + ... 3 2 1 But… ... , , 2 2 1 1 V C Q V C Q = = ... 2 1 + + = C C C eff 1 2 ...... eff Q Q C V + + =
Series Series Voltages add : V V V = + + ... 2 1 Charges are equal: Q Q Q Q = = = 3 2 1 And … 1 2 1 1 1 ... V 1 , but , .... eff V V C Q Q C + + = = ...     + + + = 3 2 1 1 1 1 1 C C C C eff +Q  -Q  +Q  -Q  +Q  -Q  C 1 C 3 C 2 A B

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Example Example 8uF 4uF 2uF 6uF 1uF 3uF b a Find the equivalent capacitance between a and b.
Solution

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Example Find the equivalent capacitance between points a and b in the combination of  capacitors shown below
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