How to plot amplitude of phasor from complex number?

Hello, I am looking to plot the maximum amplitude of a voltage phasor given by:

where V = 10 V, R = 4.7 kΩ, and C = 22 nF, over a range 0 < ω ≤ 100 Mrad/s.

The plot needs to be done with log 10 scale for both the ω and Vc axes.

I have the folowing code, but can't seem to get it figured out.

x = [ -4 : 0.1 : 8];
w = 10 .^ x;

Vc(w) = -(10/(w * 4700 * (22e-9))) - 10i;

plot(w, Vc(w));

Any help would be greatly appreciated.

Answer 1

[VBBV]

semilogx(10*log10(w), abs(Vc(w)));

use abs if you want resultant of real and complex values

or

semilogx(10*log10(w), real(Vc(w)));

if you want only real values

[VBBV]

%f true
  x = [ -4 : 0.1 : 8];
w = 10 .^ x;
Vc = -(10./(w * 4700 * (22e-9))) - 10i;
loglog(10*log10(w), real(Vc));

[Rafael Estrada]

Thank you very much!