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10 Capacitors

# 10 Capacitors - Review lecture 9 V Ex = x E-field...

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Craig Ogilvie Review lecture 9 Craig Ogilvie 11 E-field equipotentials z V E y V E x V E z y x - = - = - = E-field given by gradient of V(x,y,z) Obj101 Depends only on geometry of the pair of conductors Capacitor: pair of separated conductors Capacitance C: much charge you can store for a given VAB Capacitors in series add as inverse Capacitors in parallel add = i total C C 1 1 = i total C C

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Craig Ogilvie Question: 1st round, three identical capacitors C 22 1. 3C 2. C/3 3. 2C 4. 3/2 C 5. ½ C What is the capacitance between A and B? 0 of 30
Craig Ogilvie Question: 2nd round, three identical capacitors C 33 1. 3C 2. C/3 3. 2C 4. 3/2 C 5. ½ C What is the capacitance between A and B? Add bottom two in series Add two in parallel 0 of 30

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Craig Ogilvie Energy 44 QV U 2 1 = Capacitor stores potential energy Three equivalent expressions (using C=Q/V) QV CV C Q U 2 1 2 1 2 2 2 = = =
Craig Ogilvie Question: energy stored, 1st round 55 QV U 2 1 = You have a capacitor C with charge Q stored on it.

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