- #1

Valhalla

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Hi all, I'm stuck on this part of a problem. I have gotten the net impedance between two terminals A and B. The impedance I got was

[tex] Z=8.39+2.22i [/tex]

Now the question is...

The network is equivalent a to a resistor and an energy storage element connected in parallel. Find their values.

I thought this was going to be easy then I realized that it was parallel not in series. So then I solved the general equations for the impedance of a resistor and a capacitor and a resitor and inductor in parallel. This is what I got:

Note: w is the angular frequency (the given frequency is 60Hz)

R//C

[tex]\frac{R-R^2wci}{R^2w^2c^2+1}[/tex]

R//L

[tex]\frac{RwL(wL+Ri)}{R^2+w^2L^2}[/tex]

Then I figured that i could equate the Real and Imaginary parts of the impedance together and then use the magintude of the impedance to solve for R or the energy storage element. I can't seem to get that to work out. Is this the right track?

[tex] Z=8.39+2.22i [/tex]

Now the question is...

The network is equivalent a to a resistor and an energy storage element connected in parallel. Find their values.

I thought this was going to be easy then I realized that it was parallel not in series. So then I solved the general equations for the impedance of a resistor and a capacitor and a resitor and inductor in parallel. This is what I got:

Note: w is the angular frequency (the given frequency is 60Hz)

R//C

[tex]\frac{R-R^2wci}{R^2w^2c^2+1}[/tex]

R//L

[tex]\frac{RwL(wL+Ri)}{R^2+w^2L^2}[/tex]

Then I figured that i could equate the Real and Imaginary parts of the impedance together and then use the magintude of the impedance to solve for R or the energy storage element. I can't seem to get that to work out. Is this the right track?

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