Operational Amplifiers (Op Amps) Discussion D3.1.

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Presentation transcript:

Operational Amplifiers (Op Amps) Discussion D3.1

Operational Amplifiers (Op Amps) Ideal Op Amp Non-inverting Amplifier Unity-Gain Buffer Inverting Amplifier Differential Amplifier Current-to-Voltage Converter Non-ideal Op Amp

Ideal Op Amp 1) The open-loop gain, A v, is very large, approaching infinity. 2) The current into the inputs are zero.

Ideal Op Amp with Negative Feedback Golden Rules of Op Amps: 1.The output attempts to do whatever is necessary to make the voltage difference between the inputs zero. 2.The inputs draw no current.

Operational Amplifiers (Op Amps) Ideal Op Amp Non-inverting Amplifier Unity-Gain Buffer Inverting Amplifier Differential Amplifier Current-to-Voltage Converter Non-ideal Op Amp

Non-inverting Amplifier Closed-loop voltage gain

Operational Amplifiers (Op Amps) Ideal Op Amp Non-inverting Amplifier Unity-Gain Buffer Inverting Amplifier Differential Amplifier Current-to-Voltage Converter Non-ideal Op Amp

Unity-Gain Buffer Closed-loop voltage gain Used as a "line driver" that transforms a high input impedance (resistance) to a low output impedance. Can provide substantial current gain.

Operational Amplifiers (Op Amps) Ideal Op Amp Non-inverting Amplifier Unity-Gain Buffer Inverting Amplifier Differential Amplifier Current-to-Voltage Converter Non-ideal Op Amp

Inverting Amplifier Current into op amp is zero

Operational Amplifiers (Op Amps) Ideal Op Amp Non-inverting Amplifier Unity-Gain Buffer Inverting Amplifier Differential Amplifier Current-to-Voltage Converter Non-ideal Op Amp

Differential Amplifier Current into op amp is zero

Differential Amplifier

Summing Circuit

Operational Amplifiers (Op Amps) Ideal Op Amp Non-inverting Amplifier Unity-Gain Buffer Inverting Amplifier Differential Amplifier Current-to-Voltage Converter Non-ideal Op Amp

Current-to-Voltage Converter

Photodiode Circuit At 50 mW

Operational Amplifiers (Op Amps) Ideal Op Amp Non-inverting Amplifier Unity-Gain Buffer Inverting Amplifier Differential Amplifier Current-to-Voltage Converter Non-ideal Op Amp

Output voltage is limited by supply voltage(s) Finite gain (~10 5 ) Limited frequency response Finite input resistance (not infinite) Finite output resistance (not zero) Finite slew rate Input bias currents Input bias current offset Input offset voltage Finite common mode rejection ratio (CMRR)

Question Find i 0

Question Find i 0