Lec19-LPN

Lec19-LPN - cture 19-11 11 Inductive Load I(t) lags v(t) by...

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cture 19- cture 19- 1 RL Circuits – Starting Current 3. Solve this differential equation τ=L/R is the inductive time constant [ ] 2 2 / / / / T m A T m A L R s V A × × = = = 1. Switch to e at t=0 0 0 I = As the current tries to begin flowing , self-inductance induces back EMF , thus opposing the increase of I . + - ε/R
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cture 19- cture 19- 2 Alternating Current (AC) = Electric current that changes direction periodically ac generator is a device which creates an ac emf/current. ac motor = ac generator run in “ reverse” A sinusoidally oscillating EMF is induced in a loop of wire that rotates in a uniform magnetic field.
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cture 19- cture 19- 3 ©2008 by W.H. Freeman and Company
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cture 19- cture 19- 4 Resistive Load Start by considering simple circuits with one element ( R , C , or L ) in addition to the driving emf . Pick a resistor R first. v R (t) and I(t) in phase + -- I(t)
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cture 19- cture 19- 5 ©2008 by W.H. Freeman and Company
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cture 19- cture 19- 6 Power Dissipated by Resistive Load V R and I in phase
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cture 19- cture 19- 7 Average Power
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cture 19- cture 19- 8 Root-Mean-Square Values
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cture 19- cture 19- 9 Capacitive Load I(t) leads v(t) by 90 o (1/4 cycle) + --
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cture 19- cture 19- 10 10 ©2008 by W.H. Freeman and Company
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cture 19-
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Unformatted text preview: cture 19-11 11 Inductive Load I(t) lags v(t) by 90 o (1/4 cycle) +--cture 19-cture 19-12 12 2008 by W.H. Freeman and Company cture 19-cture 19-13 13--Capacitive vs Inductive Load I(t) leads v(t) by 90 o +--+ v L (t) leads I(t) by 90 o v L cture 19-cture 19-14 14 ENERGY STORED IN AN INDUCTOR 6C07 cture 19-cture 19-15 15 (Ideal) LC Circuit same cture 19-cture 19-16 16 2008 by W.H. Freeman and Company cture 19-cture 19-17 17 RC Circuit vs LC Circuit R C +Q-Q I convention so that dQ I dt = t I-Q/(CR) t-I max I max In RC circuit, current I causes energy dissipation in resistor R . exponential decay In LC circuit, there is no energy dissipation energy can be stored in L , C , or both. sinusoidal oscillation cture 19-cture 19-18 18 2008 by W.H. Freeman and Company cture 19-cture 19-19 19 2008 by W.H. Freeman and Company cture 19-cture 19-20 20 DEMO DAMPED OSCILLATIONS 6C10 cture 19-cture 19-21 21 LC Oscillations 2 2 1 , , 2 2 E B Q dQ U U LI I C dt = = = No Resistance = No dissipation...
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Lec19-LPN - cture 19-11 11 Inductive Load I(t) lags v(t) by...

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