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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