Summary:
Widely used in Analog Design, the inverting amplifier in Figure 1 has a simple transfer function. What is the proof of this function?
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Articles Tagged ‘proof’
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How to Derive the Inverting Amplifier Transfer Function
Thursday, November 26th, 2009Tags: amplifier, inverting, op amp, op amp (opamp) formulas, proof, transfer function
Categories: Analog Design, Operational Amplifier Formulas
The Common-Collector Amplifier Input and Output Resistance – The Proof
Monday, October 12th, 2009Summary:
In this article I will show a method to deduce the input and output resistance of the common collector amplifier. The common-collector amplifier is a well known circuit (see Figure 1). It is mostly used as a buffer due to its high input resistance, small output resistance and unity gain buffer. The equations derived in this article are symbolic, as is the derivation of any other formula in this website. Still, even if the resistances’ values are not numeric, the equations are intuitive enough to show the high input low output resistance property of the amplifier.
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Tags: amplifier, BJT, common-collector, dependent sources, input resistance, output resistance, proof, Thevenin's Theorem, transistor, voltage follower
Categories: Analog Design, Thevenin's Theorem, Transistor Circuits
Derive the Transfer Function of the Common Collector Amplifier with Thevenin’s Theorem
Sunday, October 4th, 2009Summary:
How to Apply Thevenin’s Theorem for Solving Circuits with Dependent Sources.
Besides its use to simplify and calculate currents in electrical circuits, Thevenin’s Theorem is also a great tool that we can use to derive transfer functions. This article will illustrate how to derive the small signal transfer function of the Common-Collector Amplifier with bipolar junction transistors (BJTs).
The circuit is shown in Figure 1. It is also called a repeater, so we expect that the calculated transfer function to be close to unity gain.
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Tags: amplifier, BJT, common-collector, dependent sources, open circuit voltage, proof, Thevenin's Theorem, transfer function, transistor, voltage follower, voltage source
Categories: Analog Design, Thevenin's Theorem, Transistor Circuits
How to Derive the Instrumentation Amplifier Transfer Function
Sunday, August 30th, 2009Summary:
The Instrumentation Amplifier (IA) resembles the differential amplifier, with the main difference that the inputs are buffered by two Op Amps. Besides that, it is designed for low DC offset, low offset drift with temperature, low input bias currents and high common-mode rejection ratio. These qualities make the IA very useful in analog circuit design, in precision applications and in sensor signal processing.
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Tags: differential amplifier, instrumentation amplifier, op amp (opamp) formulas, operational amplifier, proof, transfer function
Categories: Analog Design, Differential Amplifier, Superposition Theorem
How to Derive the Transfer Function of the Inverting Summing Amplifier
Monday, August 17th, 2009Summary:
The inverting summing amplifier does exactly what its name says: adds the input signals and inverts the result. This amplifier presents a major advantage versus the non-inverting summing amplifier. The input signals are added with their own gain. The disadvantage is the inversion of the sum, which might not be desirable in some cases. How can we derive this function? What is the transfer function of the inverting summing amplifier with 3, 4, or n inputs? This article answers all these questions.
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Tags: inverting summing amplifier, operational amplifier, proof, Summing amplifier
Categories: Analog Design, Operational Amplifier Formulas, Summing amplifier, Superposition Theorem
The Transfer Function of the Non-Inverting Summing Amplifier with “N” Input Signals
Sunday, August 9th, 2009Summary:
In a previous article, How to Derive the Summing Amplifier Transfer Function, I deduced the formula for the non-inverting summing amplifier with two signals in its input. But what if we have 3, 4 or an n number of signals? Can we add them all with one amplifier?
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Tags: amplifier, analog, non-inverting, op amp (opamp) formulas, operational amplifier, proof, Summing amplifier, summing amplifier formula, transfer function
Categories: Analog Design, Operational Amplifier Formulas, Summing amplifier, Superposition Theorem
How to Derive the Summing Amplifier Transfer Function
Thursday, July 9th, 2009Summary:
The summing amplifier, or the non-inverting summing amplifier, is an analog processing circuit with the transfer function (the summing amplifier formula as some say) shown in the following equation.
(1)
The first term of the product is the actual summing, while the second term is a gain due to the R3 and R4 resistors. I prefer this [...]
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Tags: amplifier, analog, non-inverting, op amp, operational amplifier, proof, Summing amplifier, summing amplifier formula, transfer function
Categories: Analog Design, Operational Amplifier Formulas, Summing amplifier, Superposition Theorem
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