102lect12_handout

102lect12_handout - Physics 102: Lecture 12 AC Circuits L R...

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Physics 102: Lecture 12, Slide 1 Physics 102: Lecture 12 L R C AC Circuits
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Physics 102: Lecture 12, Slide 2 Review: Generators and EMF v v x θ ω r ε = ω A B sin( θ ) ε = ω A B sin( ω t) ε = V max sin( ω t) t 1 2 Frequency = How fast its spinning Amplitude = Maximum voltage Voltage across generator: ε V max -V max 20
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Physics 102: Lecture 12, Slide 3 AC Source 0.25 0.5 2 π f t = 8 π t f = 4 Hz T=(1/4)seconds/cycle +24 -24 V(t) = V max sin( ω t)=V max sin(2 π f t) V max = maximum voltage f = frequency (cycles/second) V(t) = 24 sin(8 π t) RMS: Root Mean Square V rms =V max / 2
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Physics 102: Lecture 12, Slide 4 RMS? RMS: Root Mean Square V rms =V max / 2 +V max -V max V(t) = V max sin(2 π f t) V max 2 Square: V max 2 / 2 Mean: square Root: V max / 2
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Physics 102: Lecture 12, Slide 5 Preflight 12.1, 12.2 I(t) = 10 sin(377 t) Find I max Find I rms L R C Well… We know that the maximum value sine is 1. So the maximum current is 10! I max = 10 A Just like V rms =V max / 2 I rms =I max / 2 =10/ 2 A = 7.07 A
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Physics 102: Lecture 12, Slide 6 Resistors in AC circuit V R = I R always true – Ohm’s Law •V R,max = I max R R Voltage across resistor is “ IN PHASE ” with current. –V R goes up and down at the same times as I does. I t t V R Frequency Resistance (R) Frequency does not affect Resistance!
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Physics 102: Lecture 12, Slide 7 C Capacitors in AC circuit I t • Voltage across capacitor “
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102lect12_handout - Physics 102: Lecture 12 AC Circuits L R...

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