All About Circuits

Zero in RC block

T

Tesla23

Joined May 10, 2009
542
jimmy_newbie said:
As a recap: I was wrong, there is no real frequency which can realize

\[ i_C = -i_R \]

This can be obtained for a value of the s variable which does not correspond to a real sine with a real frequency. Thanks for pointing this out.

However, the absolute value of the zero in the variable s corresponds to a point in the real omega axis when the zero begins to have an effect on the frequency response

\[ |H(j \omega)| \]

of the system.
Click to expand...
The zero occurs for \(s = -\frac{1}{RC}\) which corresponds to a time waveform \(e^{-\frac{t}{RC}}\)

so if you apply a voltage \(V = V_0 e^{-\frac{t}{RC}}\)

you will find \(i_C = -i_R\)

and so the total current through the admittance is zero - corresponding to the zero of the admittance at \(s = -\frac{1}{RC}\)
 
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