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Operational Amplifier    Part 1 Mukesh N Tekwani tekwani@ email.com
Operational Amplifier ,[object Object],[object Object],[object Object]
Operational Amplifier Symbol ,[object Object],- + +ve supply -ve supply output Inverting i/p V 1 Non-Inverting i/p V 2
Internal Block Diagram
Characteristics of Ideal Op-Amp ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Op Amp Characteristics Explained ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Op Amp Characteristics Explained ,[object Object],[object Object],[object Object]
Op Amp Slew Rate Explained ,[object Object],[object Object],[object Object]
Op Amp Slew Rate Explained
Operational Amplifier Without Feedback ,[object Object],[object Object],[object Object],[object Object],[object Object]
Variation of Gain with Frequency ,[object Object],[object Object],[object Object]
Variation of Output voltage with V 1 ,[object Object],[object Object],[object Object],[object Object]
Variation of Output voltage with V 2 ,[object Object],[object Object],[object Object],[object Object]
Variation of Output with Input Voltages ,[object Object],[object Object],[object Object],[object Object]
Consequences of Ideal characteristics ,[object Object],[object Object],[object Object],[object Object]
The Basic Inverting Amplifier R 2 V in – + + – V out R 1 + – I 1 I 2 Resistor used to control amplification
How to Calculate the Gain   ,[object Object],[object Object],[object Object]
Inverting Amplifier ,[object Object],[object Object],[object Object],[object Object],[object Object]
Inverting Amplifier ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Solving the Amplifier Circuit ,[object Object],[object Object],– R 1 R 2 i 1 i - i 2
KCL
Solve for V o ,[object Object],Thus, Gain of an op-amp depends only on the two resistances and not on the op-amp characteristics
Assumptions made in deriving gain equation ,[object Object],[object Object],[object Object],[object Object]
Transfer Characteristics of Inverting Amplifier V o -V s +V s saturation saturation Vin B A
Transfer Characteristics of a Non-inverting Amplifier V o -V s +V s saturation saturation V 2  – V 1 V 2  > V 1 V 2  < V 1 B A
Transfer Characteristics of an Op-Amp ,[object Object],[object Object]
Transfer Characteristics of an OpAmp V s -V s V o Value V 0  might have for an ac i/p if opamp did not saturate
Transfer Characteristics of an OpAmp ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Saturation Effect in Op Amp Suppose gain is -10. Assume the input is a signal of amplitude of 1.4v.  We would expect the output of the amplifier to be a signal of amplitude of 14V because the amplitude of the input is 1.4v and the gain is -10.  But, if you take saturation into account, you will get a signal that is &quot;flattened&quot; at the top and bottom.
Problem 1:  ,[object Object],50,000 ohm
Problem 2:  ,[object Object],Gain = - Vo / Vi Vo = Gain x Vi Vo = (-10) x 0.24 Vo = -2.4 V
Problem 3:  ,[object Object],10 K ohm 2 . 7 K ohm
Problem 3:
Problem 3:  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Problem 3:  ,[object Object],[object Object],[object Object],[object Object]
Concept of virtual earth R 2 V in P Q – + + – V out R 1 + – I 1 I 2 V Q V P
Virtual earth ,[object Object],[object Object]
Non-inverting Amplifier
Non-inverting op amp – + V i V o R f R i
Non-inverting Amplifier ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Voltage Follower – + V i V o
Voltage Follower ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Characteristics of Voltage Follower ,[object Object],[object Object],[object Object],[object Object]
Voltage Follower used for measuring charge ? Test Plate
Voltage Follower used for measuring charge  ,[object Object],[object Object],[object Object],[object Object],[object Object]
Thank You

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Operational Amplifier Part 1