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

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Capacitance (II) Capacitance (II) •Capacitors in circuits •Electrostatic potential energy Practice: chapter 26, problems 17, 21, 23, 33, 37 Text sections 26.3—26.5 Quiz 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. 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

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Capacitors in Circuits Capacitors in Circuits Symbols: or Capacitor Î Battery Î Switch Î + + - - Capacitor Combinations 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
Parallel 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 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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Exercise Exercise a b c d All Capacitors are F µ 12 Find the capacitance between a) points b and

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lecture12 - Capacitance(II Text sections 26.326.5...

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