Question

Question with circuits

Answer 1

@freckles

Answer 2

@sasogeek @ganeshie8

Answer 3

what do you know so far?

Answer 4

hmm, I know that I should set Rt = Rl to find max power transfer.

Answer 5

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.

Answer 6

@UnkleRhaukus

Answer 7

@hwyl

Answer 8

The notes here give you the required theory:
http://www.usna.edu/Users/cs/vincent/suppnotes/EE301Topic24.pdf

Answer 9

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.
\[\large \frac{50}{1+(100\times C \times 50)^{2}}=20\]