Q1 (25 points)
Consider the circuit below, the Op Amp is ideal. Assume all resistors other than
R_(L) are
1\Omega .
(a) ( 10 points) Calculate the relation between output voltage
V_(out ) and the input voltage
V_(in ).
(b) (5 points) Over what range of
V_(in ) does the Op Amp work in the linear regime?
(c) ( 5 points) In the linear regime, what values should we choose the input voltage
V_(in ) and the load resistance
R_(L) to achieve the maximum power on the load resistance
R_(L) ? What is the maximum power?
(d) (5 points) Under the condition in (c), what is the output current of the Op Amp
i_(out ) ? Does it flow into or out of the Op-Amp?