L13_Viet_Capacitance and Capacitors

L13_Viet_Capacitance and Capacitors - Physics 122B...

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Unformatted text preview: Physics 122B Electricity and Magnetism Lectur e 13 Capacitance and Capacitor s 05/13/09 Physics 122 - Lecture 13 2 Combining Capacitor s Par allel: Same V, but different Qs. Ser ies: Same Q, but different Vs. 1 2 3 parallel C C 1 2 3 Q Q Q Q C V V C C C + + + = = = + + + L L ( 29 ( 29 ( 29 series C 1 2 3 1 2 3 1 2 3 1 2 3 1 / / / 1 || || || 1/ 1/ 1/ Q Q C V V V V V Q V Q V Q C C C C C C = = + + + = + + + = + + + L L L L 05/13/09 Physics 122 - Lecture 13 3 Reminder : Combining Resistor s R net 1 2 3 Series Connection [ L]: net R R R R = + + 1 2 3 Parallel Connection [ (1/A)]: 1 1 1 1 net R R R R = + + R net I Conducting material that carries current across its length can form a r esistor , a circuit element characterized by an electr ical r esistance R: R L/A where L is the length of the conductor and A is its cross sectional area. R has units of ohms . Multiple resistors may be combined in ser ies , where resistances add, or in par allel , where inverse resistances add. 05/13/09 Physics 122 - Lecture 13 4 Example : A Capacitor Cir cuit Find the charge and potential difference across each capacitor shown in the figure. C Q C V C parallel 1 2 C C C = + 1 2 series 1 2 1 2 1 1/ 1/ C C C C C C C = = + + 05/13/09 Physics 122 - Lecture 13 5 Ener gy Stor ed in a Capacitor 1 U dq V qdq C = = 2 1 C 2 1 Q Q U qdq C C = = 2 1 1 2 C C 2 2 Q U C V C = = 05/13/09 Physics 122 - Lecture 13 6 Example : Stor ing Ener gy in Capacitor How much energy is stored in a 2.0 F capacitor that has been charged to 5000 V? What is the average power dissipation if the capacitor is discharged in 10 s?...
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This note was uploaded on 04/25/2009 for the course ECE PHYS122 taught by Professor Viet during the Spring '09 term at 東京大学.

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L13_Viet_Capacitance and Capacitors - Physics 122B...

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