Pole Splitting equation question

[bitrex]

I'm trying to follow along with the equations on the wikiepdia page for pole splitting: http://en.wikipedia.org/wiki/Pole_splitting. However, I'm having a bit of trouble understanding the equation about halfway down that relates the load output to the amplifier input, Vl/Vi. Where does the zero in the numerator in the transfer function come from, that term divided by the amplifier gain? I thought the transfer function for the output network would be essentially identical to that of the input network, just with Cc in parallel with Cl. Thanks for any insight.

 

[The Electrician]

Send me a PM with a valid email address, and I'll send you some material from old journals and magazines on the topic.

 

[oswaler]

The equation in question, Vl/Vi, is known as the transfer function and it represents the ratio of the output voltage to the input voltage. In this case, it is used to describe the relationship between the load output and the amplifier input in a pole splitting circuit. The zero in the numerator represents the natural frequency of the circuit, which is determined by the values of the capacitors and inductors in the circuit.

The transfer function for the output network is not necessarily identical to that of the input network. This is because the output network includes the additional component of Cc, which is in parallel with Cl. This additional component can affect the overall transfer function and change the natural frequency of the circuit. Therefore, it is important to take into account all components in the circuit when calculating the transfer function.

If you are having trouble understanding the equation, it may be helpful to consult with a colleague or a textbook on circuit analysis. It may also be helpful to break down the equation into smaller parts and understand each component individually. Additionally, there are online resources and tutorials available that can provide further explanation and examples of pole splitting circuits.