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OPAMPs

Typical Values

Typical Values Ideal Values
A (Open-loop gain) \(10^5-10^8; \Omega\) \(\infty\)
Rin (Input Resistance) \(10^5-10^{13}; \Omega\) \(\infty\)
Rout (Output Resistance) \(10-100; \Omega\) \(0\)

####Example: Find vo in the circuit.

Inverting Amplifier

Non-inverting Amplifier

$$V_o = (1 + \frac{R_f}{R_1}) V_i$$

Ex:

Vo=7V

##Summing Amplifier

$$V_o = - R_f(\frac{V_1}{R_1} + \frac{V_2}{R_2} + \frac{V_3}{R_3})$$

Ex: Vo=-8V io=-4.8mA

##Difference Amplifier

$$V_o = (\frac{R_2}{R_1} + 1)\frac{R_4}{R_3+R_4}V_2 - \frac{R_2}{R_1}V_1$$

Ex: Design an op amp circuit with inputs v 1 and v 2 such that Vo = 3V2 - 5V1

Cascaded OPAMPS

V0=3.5 V Ex: V1=7V V2=3.1 V

Vo=? Vo=10V