# Solving the Minimum RC Network for Open-Circuit Voltage Gain of 2

• bobbyk

#### bobbyk

This is not homework, but a question I have posed for myself.

In a linear, passive, 3-terminal RC network for sinusoidal voltage input how many resistors and capacitors are required to give an open-circuit voltage gain of 2?

I've found some very complicated networks, but I'd like to find one with the fewest number of R's and C's.

Thanks for any help.

This is not homework, but a question I have posed for myself.

In a linear, passive, 3-terminal RC network for sinusoidal voltage input how many resistors and capacitors are required to give an open-circuit voltage gain of 2?

I've found some very complicated networks, but I'd like to find one with the fewest number of R's and C's.

Thanks for any help.

No combination of resistors and capacitors without some active device such as a transistor will exhibit any gain at all.

This question is still coursework, so I've moved the thread to Homework Help.

bobbyk, do you understand what ASN is saying? How can a passive network have a gain > 1? What do you need to add to get a gain > 1?

Yes, I understand what ASN is saying and he is wrong! You don't need to add anything to
get a gain > 1. Even very simple passive RC networks have open-circuit voltage gains > 1.

But I'm trying for a gain of 2.

There was a thread on the Usenet group alt.binaries.schematics.electronic on 10/10/07 with the subject:

Epstein paper--Synthesis of Passive RC Networks with Gains Greater than Unity

One of the responders posted this circuit which seems to be able to give gains much greater than just 2. It has practical problems, however.