Phys2212_30.6+to+30.7

# Phys2212_30.6+to+30.7 - Physics 2212 Electricity and...

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Unformatted text preview: Physics 2212 Electricity and Magnetism Lecture 13 (Knight: 30.6 and 30.7) Capacitance and Capacitors Physics 2212 - Lecture 13 Combining Capacitors Parallel: Same D V, but different Qs. Series: Same Q, but different D 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 Physics 2212 - Lecture 13 Reminder: Combining Resistors R net 1 2 3 Series Connection [ L]: net R R R R Σ = + + 1 2 3 Parallel Connection [ (1/A)]: 1 1 1 1 net R R R R Σ = + + R net I Conducting material that carries current across its length can form a resistor , a circuit element characterized by an electrical resistance R: 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 series , where resistances add, or in parallel , where inverse resistances add. Physics 2212 - Lecture 13 Example : A Capacitor Circuit Find the charge and potential difference across each capacitor shown in the figure. C Q C V ≡ ∆ parallel 1 2 C C C = + 1 2 series 1 2 1 2 1 1/ 1/ C C C C C C C = = + + Physics 2212 - Lecture 13 Energy Stored 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 = = ∆ Physics 2212 - Lecture 13 Example : Storing Energy in Capacitor How much energy is stored in a 2.0 m F capacitor that has been charged to 5000 V? What is the average power dissipation if the capacitor is discharged in 10 m s?...
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Phys2212_30.6+to+30.7 - Physics 2212 Electricity and...

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