Inverting Amplifier Equation and Gain
Let us derive the gain of an op-amp
Mathematically, we can write voltage gain as
Av=Vout/Vin
Where ,Vin-V2= IinRin and V2-Vout=IFRF
Observe that an ideal op amp has infinite input impedance due to which the currents flowing into its input terminals are zero.
Thus, Iin = If. We also know that in an ideal op amp the voltage at inverting and non-inverting inputs are always equal. Hence,
Due to virtual ground V1=0
Also,V2=V1=0
So ,Vin-0= IFRin and 0-Vout=IFRF
We combine the last two equations
-Vout/Vin= IFRF/IFRin
so, -Vout/Vin= RF/Rin
∴ Vout/Vin= -RF/Rin
This is how we derive the gain of inverting operational amplifier.
Inverting Operational Amplifier
Operational amplifiers are an important category of instruments used in electronics engineering. Often they are used for the task of amplifying the output. In this category of instruments, there is a subcategory known as Inverting Operational Amplifiers. They are typically used when we need an opposite phase for the input waveform. In this article, we will discuss what is Inverting Operational Amplifier. We will discuss their work and the equation used for calculating the gain of an Inverting Operational Amplifier. We will also discuss the advantages and disadvantages of Inverting Operational Amplifier. To understand the real-life usage of these, we will also discuss some applications of Inverting Operational Amplifiers. The article will also aim to provide a comparative analysis between an Inverting operational Amplifier and a Non-Inverting Operational Amplifier. We will conclude the article with some frequently asked questions.
Table of Content
- Inverting Operational Amplifier
- Working
- Inverting Amplifier Equation and Gain
- Advantages
- Disadvantages
- Application
- Inverting Vs Non-Inverting Op-Amp
- Solved Examples