Jan31 - PHYS142 Lecture 11 Capacitance and Dielectrics...

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Capacitance and Dielectrics • Chapter 26 All sections except 6 26.1 Definition of Capacitance 26.2 Calculating Capacitance 26.3 Combinations of Capacitors 26.4 Energy Stored in a Charged Capacitor 26.5 Capacitors with Dielectrics 26.7 An Atomic Description of Dielectrics PHYS142 Lecture 11 1
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V + _ + _ C eq The rule for adding multiple capacitances connected in parallel is: The equivalent circuit is: C eq = C 1 + C 2 + C 3 + ··· 2 Parallel Connection
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Series Connection eq C Q C C Q 1 1 1 2 1 Charge on each capacitor is the same. 2 1 V V V 2 1 2 2 1 1 C Q C Q C Q C Q _ + _ + + _ _ _ + + C 2 C 1 V 3
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The equivalent , total or effective capacitance can be determined from: 2 1 1 1 1 C C C eq The rule for adding multiple capacitances in series is: 3 2 1 1 1 1 1 C C C C eq 4 Series Connection
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C 3 = 5 μF C 1 = 3 μF C 2 = 6 μF V Example 1 : Calculate the total or equivalent capacitance of the circuit below. 5
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μF 21 . 3 4 9 5 9 C 2 1 C C C μF 9 μF 3 μF 6 C 3 = 5 μF C 1 = 3 μF C 2 = 6 μF V 6 1) C 1 and C 2 are parallel Example 1 C C C 1 1 1 3 C 3 = 5 μF V μF 9 C 2) C and C 3 are parallel
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Calculate the work done in moving an amount of charge, dq , from one plate to the other when the potential difference across the plates is ΔV . dq C q dq V dW Total amount of work to charge the capacitor to a charge of Q is: C Q dq C q W Q 2 2 0 ΔV +q -q dq From the work-energy theorem this is the potential energy stored in a charged capacitor. 8
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This note was uploaded on 02/22/2011 for the course PHYS 142 taught by Professor Altounian during the Spring '07 term at McGill.

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Jan31 - PHYS142 Lecture 11 Capacitance and Dielectrics...

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