# *10.35 Figure P10.35 shows an ideal voltage amplifier with a gain of +2 V/V (usually implemented with an op amp connected in the noninverting configuration) and a resistance R connected between output and input.

# *10.35 Figure P10.35 shows an ideal voltage amplifier with a gain of +2 V/V (usually implemented with an op amp connected in the noninverting configuration) and a resistance R connected between output and input.

*10.35 Figure P10.35 shows an ideal voltage amplifier with a gain of +2 V/V (usually implemented with an op amp connected in the noninverting configuration) and a resistance R connected between output and input.

(a) Using Miller’s theorem, show that the input resistance Rin = −R.

(b) Use Norton’s theorem to replace Vsig, Rsig, and Rin with a signal current source and an equivalent parallel resistance. Show that by selecting Rsig = R, the equivalent parallel resistance becomes infinite and the current IL into the load impedance ZL becomes Vsig/R. The circuit then functions as an ideal voltage-controlled current source with an output current IL.

(c) If ZL is a capacitor C, find the transfer function Vo/Vsig and show it is that of an ideal noninverting integrator.