Curry
  • Curry
Question with circuits
Mathematics
chestercat
  • chestercat
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Curry
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hwyl
  • hwyl
what do you know so far?
Curry
  • Curry
hmm, I know that I should set Rt = Rl to find max power transfer.
Curry
  • Curry
So i started by doing source transformation of 50ohm resistor and Vs and then combined the capacitor value, and then did another source transformation to get into a series circuit. and then i equated the resistor||capacitor + inductor to R load.
Curry
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kropot72
  • kropot72
The notes here give you the required theory: http://www.usna.edu/Users/cs/vincent/suppnotes/EE301Topic24.pdf
kropot72
  • kropot72
Maximum power is transformed when the Thevenin resistance of the source is equal to the resistance of the load (which is 20 ohms in the question). The Thevenin impedance of the source is found from: \[\large Z _{th}=\frac{R}{1+(\omega CR)^{2}}-\frac{j \omega C R^{2}}{1+(\omega CR)^{2}}\] Now you need to put the resistive part of the above Thevenin impedance equal to 20 ohms and plug in R = 50 ohms and omega = 100. Then solve for the value of C. \[\large \frac{50}{1+(100\times C \times 50)^{2}}=20\]

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