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# lecture12 - Capacitance(II Capacitance apacitors in...

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

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Example Example Conducting spheres and a long wire: cm r 10 1 = cm r 30 2 = A total charge+12 C is placed on one sphere. The charge will move to the μ other sphere until A) the electric fields on the spheres are equal B) the electric potentials on the spheres are equal C) the electric charges on thespheres areequal
Capacitors in Circuits Capacitors in Circuits Symbols: or Capacitor Battery Switch + + - -

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Capacitor Combinations Capacitor Combinations A B Series A B Parallel What is the“effectivecapacitance ” between A & B? A B +Q -Q charge held voltage difference eff C =
Parallel Parallel C 1 C 2 C 3 A B V Voltages arethesame : 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 + + =

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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 , ....
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lecture12 - Capacitance(II Capacitance apacitors in...

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