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# lecture12 - Capacitance(II Text sections 26.326.5...

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1 Capacitance (II) •Capacitors in circuits Practice: chapter 26, problems 15, 19, 21, 25, 35, 37 Text sections 26.3—26.5 Quiz Conducting spheres and a long wire: cm r 10 1 = cm r 30 2 = A total charge +12 μC is placed on one sphere. Some of the charge will move to the 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 the spheres are equal D) all of the above

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2 Capacitors in Circuits Symbols: or Capacitor barb4right Battery barb4right Switch barb4right + + - - Capacitor Combinations A B Series A B Parallel What is the “effective capacitance ” between A & B? A B Q Q produced voltage d transferre charge = eff C
3 Parallel C 1 C 2 C 3 A B +Q -Q 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 Series Voltages add : V V V = + + ... 2 1 Charges are equal: Q Q Q Q = = = 3 2 1 And … .... , , 1 1 1 1 C Q C Q V C Q V eff = = = ... + + + = 3 2 1 1 1 1 1 C C C C eff Q +Q -Q +Q -Q +Q -Q +Q

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4 Example
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