How to measure the open loop gain of an operational amplifier

Operational Amplifier (OP-AMP for short) is an important amplifier in electronic circuits and is widely used in various applications. When designing and analyzing circuits, it is crucial to understand the open-loop gain of an op amp. TOPCHIP ELECTRONICS, a stock supplier of electronic components, will introduce the methods and principles of measuring the open-loop gain of operational amplifiers to help you better understand and apply this key parameter.

1. The concept of open loop gain

The open-loop gain of an operational amplifier refers to the gain relationship between the output voltage and the input voltage of the operational amplifier without any feedback network. Typically, the open-loop gain is a large number, typically in the tens of thousands to millions. Since it is difficult to directly measure such a high gain in practice, some special measurement methods are used.

2. Measurement method using oscilloscope and function generator

2.1 Principle

Measuring the open-loop gain of an op amp typically requires the use of an oscilloscope and a function generator. The basic principle is to input a small signal, observe the change in the output, and then calculate the gain.

2.2 Steps

1. Connect the circuit: Connect the non-inverting input (+) and inverting input (-) of the op amp to the oscilloscope and function generator respectively. Make sure the power supply is connected correctly.

2. Set the function generator: Set the function generator to generate a small amplitude sine wave signal. The frequency is usually chosen between a few hundred hertz to several thousand hertz.

3. Observe the output: Observe the output signal of the operational amplifier through an oscilloscope. Make sure the amplitude of the output signal is small enough that the op amp is still in the linear region.

4. Measure the input and output: Use an oscilloscope to measure the voltage values of the input and output respectively. Remember the amplitude of the input signal.

5. Calculate the gain: By calculating the ratio of the output voltage to the input voltage, the open-loop gain of the operational amplifier can be obtained. The formula is:

Formula for calculating gain

3. Measurement methods using feedback networks

3.1 Principle

Another way to measure the open-loop gain of an op amp is to use a feedback network. By building a known feedback circuit, the gain of the system can be reduced, making measurements easier.

3.2 Steps

1. Connect the circuit: Connect the output of the operational amplifier to the feedback network to form a feedback circuit. Choose appropriate resistor values to set the gain of the feedback circuit.

2. Input signal: Use a function generator to input a small amplitude signal to the input of the operational amplifier.

3. Observe the output: Observe the op amp output signal through an oscilloscope.

4. Adjust the feedback network: According to the design of the feedback circuit, adjust the resistor value to obtain the appropriate amplification factor. At this point, the total gain of the system is equal to the open-loop gain of the op amp multiplied by the gain of the feedback circuit.

5. Measure the input and output: Use an oscilloscope to measure the voltage values of the input and output respectively. Remember the amplitude of the input signal.

6. Calculate the open-loop gain: Calculate the open-loop gain of the op amp by calculating the ratio of the output voltage to the input voltage and taking into account the gain of the feedback circuit. The formula is:


4. Precautions


When measuring open-loop gain, you need to pay attention to the following matters:

- Signal amplitude: The amplitude of the input signal should be small enough to ensure that the op amp still operates in the linear region.

- Frequency: Select an appropriate frequency range to ensure accurate measurement results.

- Supply voltage: Make sure the op amp's supply voltage is within the specified range to maintain proper operation.

- Feedback circuit design: If a feedback circuit is used for measurement, ensure that the design of the feedback circuit is reasonable and stable to obtain accurate gain values.

- Temperature stability: The performance of some op amps may be affected by temperature changes. During the measurement process, keep the ambient temperature stable to ensure the accuracy of the measurement results.

- Power supply noise: Op amps are sensitive to power supply noise, especially at high gains. Therefore, make sure the power supply is clean and has adequate filtering to reduce errors introduced by the power supply.

 5. Use simulation calculations to estimate


In addition to actual measurements, simulation calculations can also be used to estimate the open-loop gain of an op amp. By using an ideal model of the op amp and the corresponding circuit equations, the open-loop gain can be estimated without making actual measurements. This method is often used for preliminary estimates during the design phase, before actual measurements are taken to verify the results.

Measuring the open-loop gain of an op amp is an important step when designing and analyzing circuits. Engineers can obtain accurate open-loop gain values by using an oscilloscope and a function generator or using a feedback circuit. During the measurement process, attention should be paid to signal amplitude, frequency, feedback circuit design and other factors to ensure the reliability of the measurement results. By gaining a deeper understanding of op amp performance, engineers can better select and apply op amps suitable for specific applications, thereby improving the performance and stability of the entire electronic system.

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