A Circuit Puzzle/Problem - 3

        River City Circuits Corporation (RC3) needs your help.

        RC3's consultant, R. J. Conque, has been working on a circuit to amplify a signal and drive a load.  The circuit has several requirements:

n   In the operational amplifier circuit below,
  uThe gain of the complete circuit must be in the range
            -9.9 to -10.1.
  uThe output resistance of the circuit must be < 1W.

        Conque has specified that the operational amplifier is a generic 741.  They are inexpensive and reliable enough.  Someone at RC3 has noticed that the spec sheet for the 741 operational amplifier says that the output resistance of the 741 is 50W.  They have concluded that this circuit is completely out of spec.  They think that you may have some knowledge of circuits with controlled sources, and they have decided that they need your help.

        Working from this equivalent circuit (which the folks at RC3 think is adequate for representing this circuit, but which they cannot analyze) determine the output resistance of the complete circuit.  You may assume that the open circuit voltage gain, G, is over 100,000 for a 741.  (100,000 is the minimum specification for a 741, and 250,000 is typical.)

        Here are a few links to 741 data sheets, etc.

 http://www.intersil.com/data/fn/fn5/fn531/fn531.pdf

 http://www.national.com/pf/LM/LM741.html