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# lect04_handout - Physics 102 Lecture 04 Capacitors...

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Physics 102: Lecture 4, Slide 1 Capacitors (& batteries) Physics 102: Lecture 04

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Physics 102: Lecture 4, Slide 2 Phys 102 so far Lecture 1 – electric charge & electric force Lecture 2 – electric field Lecture 3 – electric potential energy and electric potential Lecture 4 – capacitance Lecture 5 – resistance Lecture 6 – Kirchhoff’s rules Lecture 7 – RC circuits Lecture 12 & 13 – AC circuits Basic principles of electricity Applications of electricity – circuits
Physics 102: Lecture 4, Slide 3 Recall from last lecture….. Electric Fields, Electric Potential

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Physics 102: Lecture 4, Slide 4 Comparison: Electric Potential Energy vs. Electric Potential V AB : the difference in electric potential between points B and A U AB : the change in electric potential energy of a charge q when moved from A to B U AB = q V AB q A B
Physics 102: Lecture 4, Slide 5 Electric Potential: Summary E field lines point from higher to lower potential For positive charges, going from higher to lower potential is “downhill” Positive charges tend to go “downhill”, from + to - Negative charges go in the opposite direction, from - to + U AB = q V AB + E-field Equipotential lines

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Physics 102: Lecture 4, Slide 6 Important Special Case Uniform Electric Field Two large parallel conducting plates of area A +Q on one plate - Q on other plate Then E is uniform between the two plates: E=4 π kQ/A zero everywhere else This result is independent of plate separation This is called a parallel plate capacitor d A E +Q –Q A + + + + + + + +
Physics 102: Lecture 4, Slide 7 Parallel Plate Capacitor: Potential Difference A B E=E 0 d V =V A – V B = +E 0 d + + + + + - - - - - A B d + + + + + - - - - - + + + + + - - - - - E=2 E 0 V =V A – V B = +2E 0 d Potential difference is proportional to charge: Double Q Double V Charge Q on plates Charge 2Q on plates E 0 =4 π kQ/A

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Physics 102: Lecture 4, Slide 8
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lect04_handout - Physics 102 Lecture 04 Capacitors...

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