lecture12

# lecture12 - Ca pa ci ta nce(I I Ca Capaci tor s i n ci r...

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Capacitance (I I ) Capacitance (I I ) 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 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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lecture12 - Ca pa ci ta nce(I I Ca Capaci tor s i n ci r...

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