Lecture_12

# Lecture_12 - Lecture 12-1 Lecture Phasors for Driven Series...

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Lecture 12 Lecture 12 -1 Phasors for Driven Series RLC Circuit Kirchhoff’s Loop Rule: 2 () s in ( ) LL I vt L V t t π ω = Δ + Δ = LRC t v tv t ε = ++ s ( ) 2 CC qt V t C = = Define phasors : V such that V y =V L L y V t ⎡⎤ = ⎣⎦ JG C C y V t = R R y V t = sin( ) app y peak tV t t εω φ = = + φ I(t) leads v c (t) by 90 ° v L (t) leads I(t) by 90 °

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Lecture 12 Lecture 12 -2 φ Impedance in Driven Series RLC Circuit 1 tan , cos LC R L VV R C VR Z φ ω == = 2 2 1 ZR L C ⎛⎞ ≡+− ⎜⎟ ⎝⎠ impedance, Ω () 22 pea peak R L C L C k X I Z X ε =+ = + ±²²²³²²²´
Lecture 12 Lecture 12 -3 Physics 241 – Question 1 – February 23, 2011 In a series LRC circuit shown, the rms voltagse across L, R, and C are, respectively, 60 V, 40 V, and 30 V. What is the rms voltage of the ac source? a) 50 V b) 110 V c) 40 V d) 30 V e) Not enough information

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Lecture 12 Lecture 12 -4 Resonance () 2 2 pea eak L C k p R Z XX I ε =+ ±²²²²²²²³²²²²²²²´ 1 res LC ω = Resonance angular frequency ε and I in phase This is called resonance .
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## This note was uploaded on 04/23/2011 for the course PHYS 219 taught by Professor Staff during the Spring '08 term at Purdue.

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Lecture_12 - Lecture 12-1 Lecture Phasors for Driven Series...

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