In the circuit in Figure P9.81, assume that
To show: The expression for the output voltageis
Explanation of Solution
Calculation:
The given diagram is shown in Figure 1.
Mark the current directions, voltages and redraw the circuit.
The required diagram is shown in Figure 2
The expression for the voltage
For an ideal op-amp the voltage at both the input terminals are equal and is given by,
Substitute
Apply KCL at the inverting terminals of the lower op amp.
Substitute
The expression for the current
The expression for the current through the resistance
Substitute
The expression for the current
The expression for the current
Substitute
The expression for the transistor current is given by,
Substitute
Substitute
Substitute
Substitute
Therefore, theexpression for the output voltage is
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