OPAmp Impedance Circuit problem

[bots]

I'm trying to solve this problem and the first 2 questions on it are giving me a tough time. Picture Attached.

(1) Determine the equivalent impedance Zeq of the OpAmp circuit. Assume that the OpAmp
is ideal.

(2) Determine Rx, Lx, and Ry as a function of R, R1, and C such that Zeq of the equivalent
circuit is equal to Zeq of the OpAmp circuit.

any help with this is much appreciated. I can find the impedance of the equivalent circuit no problem but the opAmp version is tripping me up.

 

[bots]

forgot to attach in previous post here's picture

 

[NascentOxygen]

I haven't seen an op-amp with both inputs inverting, before this. Okay, so I've lived a sheltered life. [/color]

Therefore, I have serious doubts about it giving the desired results. I think you might have to change the lower input to non-inverting (+). Does that make its analysis more in line with your expectations?

 

[NascentOxygen]

R and C form a potential divider, dividing the input voltage and impressing it on the (+) input of the op-amp.