Lecture_16_(Chap.20)

Lecture_16_(Chap.20) - Parallel Capacitors Initial moment:...

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Parallel Capacitors itial moment: brighter? Initial moment: brighter? ill it l l ? Capacitor charging… Will it glow longer? Fringe field: R s A Q E 0 1 2 / Capacitors in parallel effectively increase A. 1 Initially brighter, and it will grow longer.
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An Isolated Light Bulb ill it glow at all? Will it glow at all? Yes, it glows. ow do electrons flow through How do electrons flow through the bulb? Why do we show charges near ulb as n the left and n bulb as - on the left and + on the right? 2
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Connecting Capacitor Parallel to a Battery Capacitor provides power during momentary outage. 3
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Capacitor in a Circuit Charging I time E batt nergy conservation time E heat Energy conservation time E cap 4 time
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The Current Node Rule in a Capacitor Circuit Charge conservation: 0 for incoming = I I 0 i i I I i > 0 for incoming I i < 0 for outgoing …in steady state I 1 I 2 + I 3 i t t i t y Capacitor transients: not a steady state! Cannot use Kirchhoff rule for a part of a capacitor (area 1 or 2) But can use for capacitor as a 5 p whole (area 3)
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+Q -Q Capacitance Electric field in a capacitor: 0 / A Q E Q f i l d E V Es V E s A Q V / V A Q 0 0 s V Q ~ In general: s Definition of capacitance: V C Q Capacitance of a parallel- plate capacitor: 6 Capacitance s A C 0
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Capacitance V C Q nits: /V, Farads (F) Units: C/V, Farads (F) Michael Faraday (1791 - 1867) 7
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Exercise The capacitor in your set is equivalent to a large two-disk capacitor D s=1 mm How large would it be? s A C 0 0 Cs A A 1 F 0.001 m 9 10 12 C 2 /N m 2  A 1.1 10 8 m 2 8 D ~ 10 km (6 miles)
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A Capacitor With an Insulator Between the Plates No insulator: / A Q With insulator: / A Q D 0 E Es V 0 K E Es V s s A Q V / s K A Q V 0 / 0 V s A Q 0 V s A K Q 0 A C 0 A K C 0 s s
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Macroscopic Analysis of Circuits Microscopic treatment: insight into the fundamental physical mechanism of circuit behavior.
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Lecture_16_(Chap.20) - Parallel Capacitors Initial moment:...

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