A) Relate the output voltage, V out ( t ), of the amplifier in the circuit above to the input voltage, V in ( t ), which, as the input voltage, we consider given.
Hint: To begin the solution process, first write 6 equations in terms of the unknown voltages and currents v out ( t ) , v R ( t ) , i R ( t ) , v C ( t ) , i C ( t ) , v - ( t ). (Note that in the particular circuit above, the non-inverting input of the op amp is connected directly to ground so that v + ( t ) is zero.)
Combine these 6 equations to show that:
B) In ideal op amps, the gain A approaches infinity. Take the limit as A approaches infinity to show that, with an ideal op amp in the circuit above, the equation you just found simplifies to:
This does not look that hard I am just confused right now. Can someone please help me with this or take me through it please.