 
        1.6 Op-Amp Basics  Basic Op-Amp Op-amp equivalent circuit 1 Practical (Ri = high , Ro = small) Ideal (Ri =∞ , Ro = 0) 1.6 Op-Amp Basics  Basic Operation of Op-Amp  input voltage at minus (-)  input voltage at plus (+) output voltage opposite in phase output voltage in phase  Basic Op-Amp - Constant-gain multiplier  Input signal is applied through resistor Ri to the minus input  Output is connected to the same minus input through resistor Rf Inverting constant gain multiplier  Resulting output: opposite in phase to input 2 signal 1.6 Op-Amp Basics  Basic Op-Amp - Constant-gain multiplier Op-amp ac equivalent circuit 3 1.6 Op-Amp Basics  Basic Op-Amp - Constant-gain multiplier Ideal Op-amp equivalent circuit Redrawn equivalent circuit (for circuit analysis) 4 1.6 Op-Amp Basics  Basic Op-Amp - Constant-gain multiplier Using Superposition theorem i) V1 only (set –AvVi =0) Vi1  Rf R1  R f V1 ii) –AvVi only (set V1 =0) R1  AvVi  Vi 2  R1  R f 5 1.6 Op-Amp Basics  Basic Op-Amp - Constant-gain multiplier Vi  Vi1  Vi 2  Vi  Vi  Rf R1  R f V1  Rf R f  (1  Av ) R1 Rf Av R1 R1  AvVi  R1  R f V1 V1 R f V1 Vo  AvVi  Av R f V1    Vi Vi Vi Av R1 R1 Vi Rf Vo  V1 R1 It is shown that the ratio i/o depends only on the value of Rf and R1 6 1.6 Op-Amp Basics  Basic Op-Amp - Unity Gain If Rf = R1 Rf Vo   1 V1 R1  Basic Op-Amp - Constant Gain If Rf = 10R1 Rf Vo   10 V1 R1 Gain with negative sign shows that the output voltage has undergone 180º phase inversion from input signal  If we select precise values for Rf and Ri, we can obtain a wide range of gains  Gain accuracy depends on resistors used  Gain is slightly affected by temperature & other circuit factors 7 1.7 Practical Op Amp Circuits  Inverting Amplifier Inverting constant gain multiplier Rf V0  V1 R1  Non-inverting Amplifier Non-inverting constant gain multiplier Rf V0  1 V1 R1 8 1.7 Practical Op Amp Circuits  Non-inverting Amplifier Non-inverting constant-gain multiplier Since Vi = 0, using voltage divider rule, R1 V1  V0 R1  R f Equivalent circuit Which results in; Rf V0 R1  R f   1 V1 R1 R1 9 1.8 Data Sheet LM741 10 1.8 Data Sheet LM741 ABSOLUTE MAXIMUM RATINGS  Supply voltage = +22V  Internal power dissipation = 500mW  Differential input voltage = + 30V  Input voltage = + 15V ELECTRICAL CHARACTERISTICS Input offset voltage Input offset current Input bias current Input resistance 11 1.8 Data Sheet LM741 ELECTRICAL CHARACTERISTICS Large signal voltage gain Output voltage swing Output short circuit current Supply voltage rejection ratio Bandwidth Slew rate Supply current Power consumption 12 1.8 Data Sheet LM741 13 1.8 Data Sheet LM741 14 1.8 Data Sheet LM741 15
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