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Operational Amplifiers (Op Amps) Discussion D3.1

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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

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

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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.

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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

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Non-inverting Amplifier Closed-loop voltage gain

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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

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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.

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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

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Inverting Amplifier Current into op amp is zero

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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

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Differential Amplifier Current into op amp is zero

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Differential Amplifier

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Summing Circuit

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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

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Current-to-Voltage Converter

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Photodiode Circuit At 50 mW

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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

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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)

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Question Find i 0

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Question Find i 0

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