Hey Everyone,
I ordered a HP-50G calculator recently, which should arrive sometime soon, for school this year. I would like to graph several transfer curves of various filters. For instance, I would like to graph the transfer function of the following of a typical RC low-pass filter (see attachment):
- C = 10µF
- R = 10kΩ
- Vin = 5V
The equations below apply:
[LATEX]V_O = V_I_N \frac{X_C}{Z}[/LATEX]
Where:
• [LATEX]X_C = \frac{1}{j \omega C}[/LATEX]
• [LATEX]Z = \sqrt{R^2 + X_C^2}[/LATEX]
Therefore:
[LATEX]V_O = \frac{\frac{1}{j \omega C}}{\sqrt{R^2 + (\frac{1}{j \omega C})^2[/LATEX]
Graphing with a complex number kind of throws me off, would someone show me how to graph the equation with the values above?
I'd appreciate any help!
Thanks,
Austin
and now the imaginary part is the part with the 'j':
imag=Vi*R*wC/(wC^2+R^2)
and the real part is the part without the 'j':
Vi*wC^2/(wC^2+R^2)
That was the mathematics for a first-order RC low pass filter, what about a second order one?
That was the mathematics for a first-order RC low pass filter, what about a second order one?
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