Q2. Find the closed loop gain and input impedance
A non-inverting amplifier employs an op-amp with a finite loop gain A_0 , and input resistance R_{in} as shown below. Find the closed loop gain v_{out}/v_{in} and input impedance.

Question

Q2. Find the closed loop gain and input impedance 
 A  non-inverting amplifier employs an op-amp with a finite loop gain   A_0  , and input resistance   R_{in}  as shown below. Find the closed loop gain   v_{out}/v_{in}  and input impedance.

Answer

\frac{v_{out}}{v_{in}} = \frac{A_0(R_1+R_2)R_{in}}{R_1R_2 + R_1R_{in} + 2R_2R_{in}}  and Input Impedance   = \frac{R_1R_{in} +R_2R_{in} + R_2R_{in} +R_1R_2}{R_1+R_2} .

Answer

\frac{v_{out}}{v_{in}} = \frac{A_0(R_1+R_2)R_{in}}{R_1R_2 + R_1R_{in} + R_2R_{in} + A_0R_2R_{in}}  and Input Impedance   = \frac{R_1R_{in} + R_2R_{in} + A_0R_2R_{in} +R_1R_2}{R_1+R_2} .

Answer

\frac{v_{out}}{v_{in}} = \frac{(R_1+R_2)R_{in}}{A_0R_1R_2 + R_1R_{in} + R_2R_{in} + A_0R_2R_{in}}  and Input Impedance   = \frac{R_1R_{in} + R_2R_{in} + A_0R_2R_{in} +A_0R_1R_2}{R_1+R_2} .

Answer

\frac{v_{out}}{v_{in}} = \frac{A_0(R_1+R_2)R_{in}}{A_0R_1R_2 + R_1R_{in} + R_2R_{in} + A_0R_2R_{in}}  and Input Impedance   = \frac{R_1R_{in} + R_2R_{in} + A_0R_2R_{in} +A_0R_1R_2}{R_1+R_2} .

Answer

\frac{v_{out}}{v_{in}} = \frac{A_0(R_1 - R_2)R_{in}}{A_0R_1R_2 + R_1R_{in} + R_2R_{in} + A_0R_2R_{in}}  and Input Impedance   = \frac{R_1R_{in} + R_2R_{in} + A_0R_2R_{in} +A_0R_1R_2}{R_1+R_2} .

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Q2. Find the closed loop gain and input impedance A non-inverting amplifier e...

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