Introduction to the Non-inverting Operational Amplifier

For the non-inverting operational amplifier configuration, the input voltage signal, ( V_IN ) is applied directly to the non-inverting ( + ) input terminal. This results in the op-amps output signal being “in-phase” with its input signal. Thus the output voltage gain of the amplifier becomes “Positive” in value and the opposite to the previous inverting amplifier configuration.

Feedback control of the non-inverting operational amplifier is achieved by applying a small part of the output voltage signal back to the inverting ( – ) input terminal via a Rƒ – R2 voltage divider network, again producing negative feedback.

This closed-loop configuration produces a non-inverting amplifier circuit with very good stability, a very high input impedance, Rin approaching infinity, as no current flows into the positive input terminal, (ideal conditions) and a low output impedance, Rout as shown below.

Non-inverting Operational Amplifier Configuration

In the previous Inverting Amplifier tutorial, we said that for an ideal op-amp “No current flows into the input terminal” of the amplifier and that “V1 always equals V2”. This was because the junction of the input and feedback signal ( V1 ) are at the same potential.

In other words the junction is a “virtual earth” summing point. Because of this virtual earth node the resistors, Rƒ and R2 form a simple potential divider network across the non-inverting amplifier with the voltage gain of the circuit being determined by the ratios of R2 and Rƒ as shown below.

Equivalent Potential Divider Network

Then using the formula to calculate the output voltage of a potential divider network, we can calculate the closed-loop voltage gain ( A_V ) of the non-inverting amplifier as follows:

Non-inverting Operational Amplifier Derivation

Then the closed loop voltage gain of the non-inverting operational amplifier configuration will be given as:

Non-inverting Amplifier Gain Formula

We can see from the equation above, that the overall closed-loop gain of a non-inverting amplifier will always be greater but never less than one (unity). It will also be positive in nature and determined by the ratio of the values of the two resistors, Rƒ and R2.

If the value of the feedback resistor Rƒ is zero, the gain of the amplifier will be exactly equal to one (unity). If resistor R2 is zero the gain will approach infinity. However, in practice the voltage gain will be limited to the operational amplifiers open-loop differential gain, ( A_O ).

We can easily convert an inverting operational amplifier configuration into a non-inverting amplifier configuration by simply changing the input connections as shown.

Voltage Follower (Unity Gain Buffer)

If we made the feedback resistor, Rƒ equal to zero, (Rƒ = 0), and resistor R2 equal to infinity, (R2 = ∞). Then the resulting circuit would have a fixed gain of “1” (unity) as all the output voltage is fed back to the inverting input terminal (negative feedback) via the short between output and input.

This basic configuration would produce a special type of the non-inverting amplifier circuit called a Voltage Follower. This then forms one of the many basic op-amp building blocks known as a “unity gain buffer”.

As the input signal is connected directly to the non-inverting input of the amplifier the output signal is not inverted resulting in the output voltage being equal to the input voltage, thus Vout = Vin. This then makes the voltage follower circuit ideal as a constant voltage source or voltage regulator due to its input to output isolation properties.

The advantage of the unity gain voltage follower configuration is that it can be used when impedance matching or circuit isolation is more important than voltage or current amplification as it maintains the input signal voltage at its output terminal.

Also, the input impedance of the voltage follower circuit is extremely high, typically above 1MΩ as it is equal to that of the operational amplifiers input resistance times its gain ( Rin x A_O ). The op-amps output impedance is very low since an ideal op-amp condition is assumed so is unaffected by changes in load.

Non-inverting Operational Amplifier Voltage Follower

In this non-inverting circuit configuration, the input impedance Rin has increased to infinity, while the feedback impedance Rƒ has reduced to zero.

Since the output is connected directly back to the negative inverting input terminal, the feedback is 100% so Vin is exactly equal to Vout giving it a fixed gain of 1 or unity. As the input voltage Vin is applied to the non-inverting input, the voltage gain of the amplifier is therefore given as:

Since no current flows into the non-inverting input terminal the input impedance is infinite (ideal conditions) so zero current will flow through the feedback loop. Thus any value of resistance may be placed in the feedback loop without affecting the characteristics of the circuit as no current flows through it so there is zero voltage drop across it resulting in zero power loss.

As the input impedance is extremely high, the unity gain buffer (voltage follower) can be used to provide a large power gain as the extra power comes from the op-amps supply rails and through the op-amps output to the load and not directly from the input.

However in most real unity gain buffer circuits there are leakage currents and parasitic capacitances present so a low value (typically 1kΩ) resistor is required in the feedback loop to help reduce the effects of these leakage currents providing stability especially if the operational amplifier is of a current feedback type.

The voltage follower or unity gain buffer is a special and very useful type of Non-inverting amplifier circuit that is commonly used in electronics to isolated circuits from each other especially in High-order state variable or Sallen-Key type active filters to separate one filter stage from the other.

One final thought, the closed loop voltage gain of a voltage follower circuit is “1” or unity. The open loop voltage gain of an operational amplifier with no feedback is therefore Infinite. So by carefully selecting the feedback components we can control the amount of gain produced by a non-inverting operational amplifier anywhere from one to infinity.

Non-inverting Operational Amplifier Tutorial Summary

We have seen here that the non-inverting amplifier configuration is very similar to the previous inverting operational amplifier. For the non-inverting operational amplifier configuration, the input voltage is applied directly to the non-inverting input while the end of feedback loop is connected to ground (0V).

The two voltage divider resistors, Rf and R2 set the voltage gain, with resistor Rf providing the required negative feedback loop ensuring the output matches the desired closed-loop voltage gain. The output signal is in-phase with the input signal, thus the phase shift of the amplifier is zero degrees (0^o).

Then the Non-inverting Operational Amplifier Circuit offers high input impedance, low output impedance, and excellent stability, making it ideal for buffering, filtering and low signal amplification. Thus far we have analysed an inverting and non-inverting amplifier circuit that has just one input signal, Vin.

So in the next tutorial about Operational Amplifier Basics, we will examine the effect of the output voltage, Vout when we connect two or more inputs directly to the operational amplifier.

This will then produce another common type of operational amplifier circuit known commonly as a Summing Amplifier which can be used to “add” or “sum” together different voltages present on its inputs.