Deriving input impedance from RLC Circuit

[xotjs93]

Can anyone help me to derive the input impedance (the dynamic resistance at resonance) of this RLC circuit?


which supposed to be



I dont really get what the input impedance is and how to derive them from the first principles...

 

[barry]

Just think of the impedances the same way you think of resistance. (Forget about the complex part for now)

Zl=j*2*pi*F*L
Zc=1/(j*2*pi*F*C)

Zeq=(Zl+R)*Zc/(Zl+R+Zc)

 

[xotjs93]

Can you please explain further how did you get
Zeq = (Zl+R)*Zc/(Zl+R+Zc)?
is it the total impedances?

 

[barry]

Impedances in parallel are like resistors in parallel.