Solution....Draw a three stage R-C phase inverter (60 degrees of lag per
stage), which uses only 3 Rs and 3 Cs. It is a three terminal network with
an input, output and common. This is the kind of circuit which used to be
used as the frequency determining element in sine wave audio oscillators
back in the tube days. The output voltage will be less than 1/4 of the
input voltage at the frequency where the phase shift is 180 degrees. Now,
just invert the usual sense of the input by considering the "common"
terminal as the input, and the "input" terminal as the common. If you
compare the voltage level at the output to that at the input you'll find
the ratio is greater than unity!
Jeff Wisnia W1BSV - Winchester, MA. "Common sense isn't very
common..."
I'll bet that all C's are equal and all R's are equal too.