- #1
leroyjenkens
- 616
- 49
Homework Statement
Two resistors, a capacitor, and an inductor are connected as shown. What is the frequency at which the impedance is purely real?
Diagram below
Homework Equations
Inductor: Z = jwL
Capacitor: Z = [tex]\frac{1}{jwL}=\frac{-j}{wC}[/tex]
Resistor Z = R
The Attempt at a Solution
I added all the components, but I don't see how I can get very far without any values of them.
[tex]\frac{1}{\frac{1}{R}+\frac{1}{L}}+\frac{1}{\frac{1}{R}+jwC}[/tex]
I'm not sure if the capacitor was added correctly, but that's just taken from my notes.
So is that equation I found equal to Z?
I need to set Im[Z] = 0, which is the imaginary part of the impedance, and then solve for w. Did I find Z correctly? And how do I know the imaginary part of Z?