Analyzing RL circuit with complex voltage

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jonnybgood

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Attachments should work now.

Hi, A complex voltage :
v = 100sin(377t) + 50sin(754t) + 5sin(1508t) V is applied to the LR circuit.
Z1 = 25Ω Z2: R = 13.3Ω Xl = 31.2Ω L = 85.3mH

These I managed to work out:

Determine rms of complex voltage waveform.
i)Obtain an expression for the complex current i
i=2.64sin(377t-1.01c)+0.74sin(754t-1.27c)+0.037sin(1508t-1.264c)
ii) Deduce value of true power that flows in circuit = 79.4V
iii) determine overall power factor. = 0.93

On this part I would like some advise on what to include, even some points and i will go into more detail. (Please find attached schematic and graph) **broken link removed**
I remember my teacher mentioning on commenting on the power factor..

iv) Comment on the complex waveforms and the results obtained:

Present and communicate your results and findings in a logical way. Producing appropriate plots to show how the complex voltage and current in the circuit vary with time over one complete cycle will help to communicate your results obtained.
 

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  • rl schematic.bmp
    6.2 MB · Views: 109
  • rl graph.bmp
    6 MB · Views: 106
Last edited:

You have three different voltages at three different frequencies. However, you state a Z but not at what frequency. You have got three different frequencies, work out you answers for each frequency, then add the answers to get the final answer. Your attachments did not work
Frank
 
Homework? Here are a couple of pointers:
1) look up polar notation for the RL circuit at all three frequencies.
2) sum the imaginary and real components at all three frequencies.
3) Z will increase linearly with frequency as the Z of the L is 2 x PI x F x L
(hint: you are dealing with 2nd and 4th harmonics, the Z will vary x2 and x4)
BTW: The BMPs came in OK. The attachment did not.
Power should be Watts (or VA) not V.
Regards: JVJ
 
Thanks a lot.. that put all the jigsaw pieces together
 

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