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lecture11 - Capacitance(Chapter 26 How much charge can a...

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1 Capacitance (Chapter 26) How much charge can a conductor hold? •Definition •Calculating Capacitance •Dielectric Constant Serway and Jewett sections 26.1, 26.2, 26.5 Practice: Chapter 26, problems 1, 3, 5, 9, 45 Definition : Capacitance C between two conductors, V Q C V = potential difference created when charge +Q is on one conductor, and –Q is on the other. Unit : (F) farad volt coulomb 1 =
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2 Example 1: Parallel Plates area A, separation d d +Q -Q Surface charge densities: A Q ± ± σ Quiz: d +Q -Q As the plates are moved apart, which of the following will increase? A) Electric field between the plates B) Electric potential difference between the plates C) Capacitance between the plates D) two of the above E) all of the above
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3 Example 2: Concentric Spheres R 1 R 2 1 2 1 1 1 4 - - = R R C ο πε Derive: (do for homework!) Examples: 1) 2 sheets of foil, 25 cm x 40 cm, 1 mm apart (in air.) 2) The earth (as an isolated sphere): R E = 6370 km 3) The earth and the ionosphere (height: 100 km) as a pair of concentric spheres.
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