Op-Amps introduction

Today I want to speak about op-amps. These wonderful, but mysterious components, we have heavely often appearing in circuit schematica of analog or analog / digital hybrid circuits. We want to demistify these components.

op-amp

There are two basic thumb rules when handling ideal op-amp circuit. (Real-world op-amp circuits are a bit more complicated, but we will discuss this later).

1. The first thumb rule is that Vout is essentially the difference of the voltage values at the both inputs, multiplied with an arbitrary but high amplification factor A.

\[ V_{out} = A (V_{in+} - V_{in-}) = \] in short this goes to

\[ V_{in+} = V_{in-}\]

2. The second thumb rule is, that there is no input current.

The non-inverting amplifier

non-inverting op-amp

The non-inverting amplifier is simple and easy to calculate: The Amplification A is the output voltage divided by the input voltage, which can be computed as follows:

\[ A = \frac{U_{out}}{U_{in}} = \frac{R1 + R2}{R1}=1 + \frac{R2}{R1}\]

\[U_{in}= 5V; R_{1} = 100 k\Omega; R_{2} = 100 k\Omega \]

\[ \frac{U_{out}}{U_{in}} = 1 + \frac{R2}{R1}\]

\[ U_{out} = ( 1 + \frac{R2}{R1}) \cdot U_{in} = ( 1 + \frac{100k\Omega}{100k\Omega}) \cdot 5V = (1 + 1) \cdot 5V = 10V\]

\[ A = 2 \]

The voltage follower

A special case of the non-inversting amplifier is the voltage follower. A voltage follower also called impedance converter is used to buffer and decouple a stage from its previous stage. It has a low impedance on the input but a high impedance on the output. So this is used so that later stages do not burden previous stages in terms of voltage.

voltage-follower

The (inverting) rectifier

Another small circuit example is the inverting rectifier. It only lets pass the negative half-wave of an alternating sine current. (See also: here )

inverting-rectifier

inverting-rectifier-signal

To be continued…​