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Lecture 12 Electromagnetic Oscillations and Alternating Current Chp. 33. Cartoon -. Opening Demo - Warm-up problem Physlet Topics LC Circuit Qualitatively Electrical and Magnetic energy oscillations Alternating current \Pure R and L, circuti Series RLC circuit Power and Transfomers

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Lecture 12 Electromagnetic Oscillations and Alternating Current Chp. 33

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Lecture 12 electromagnetic oscillations and alternating current chp 33 l.jpg

Lecture 12 Electromagnetic Oscillations and Alternating Current Chp. 33

  • Cartoon -. Opening Demo - Warm-up problem

  • Physlet

  • Topics

    • LC Circuit Qualitatively

    • Electrical and Magnetic energy oscillations

    • Alternating current

    • \Pure R and L, circuti

    • Series RLC circuit

    • Power and Transfomers

  • Demos

    • LR circuit

    • Series LRC circuit


Slide2 l.jpg

B

Axis of rotation

Coil of wire

Where w is the rotational angular

frequency of the generator

w= 2pf and f= 60 Hz


Slide3 l.jpg

phase

Instantaneous voltage

time

Phase constat

Amplitude

Angular frequency

Phasor diagram


Slide4 l.jpg

L = 4.22mH

VR=RI

VL= XLIL or VL= (Lw)Isince I=IL


Impedance z new quantity for ac circuits this is analogous to resistance in dc circuits l.jpg

Impedance Z: New quantity for AC circuits. This is analogous to resistance in DC circuits


Rl circuit example l.jpg

RL Circuit Example

Suppose em = 100 volts, f=1000 Hz, R=10 Ohms, L=4.22 mH,

Find XL, Z, I, VR, and Vl.


Power in ac circuits l.jpg

Power in AC circuits

Instantaneous power doesn’t mean anything

Need to average over time or one period of the sine wave

Note


Averaging over a sine curve l.jpg

Averaging over a sine curve


Calculate power lost in resistor from example l.jpg

Calculate Power lost in resistor from example

To calculate power produced by the generator you need to take account of the phase difference between the voltage and the current. In general you can write:

For an inductor P = 0 because the phase difference between current through the inductor and voltage across the inductor is 90 degrees


Series lrc circuit l.jpg

Series LRC circuit

VR

VC

XC=1/(wC)

VL

XL=wL

ELI the ICE man


Resonance l.jpg

Resonance

Series LRC demo


Slide12 l.jpg

10 uF

4.25 mH


Series lcr circuit l.jpg

Series LCR circuit


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