Plot |z| vs. f(Hz) of the circuit. R=100, C=600 pf = 6E-12 F, L=10E-6 H . All elements of the circuit are in parallel. Also identify the resonant frequency.
The Attempt at a Solution
Switching to admittance and skipping a few steps, it can be found that
Y=G + j * 2 * pi * f * C * (1 - (f0 / f) ^ 2)
Z=R + 1 / (j * 2 * pi * f * C * (1-(f0 / f) ^ 2))
Z=100 + 1/(j * 2 * pi * f * 600E-12 *(1 - (2054681.48 / f) ^ 2)
To plot, i used a few lines in matlab:
The plot shows me a vertical line at f=100
My professor told us that the graph should be bell shaped, and i have no idea where i've gone wrong. Anyone see a mistake?