5 Ways to Measure an Inductor

How to Measure an Inductor

Measuring an inductor’s inductance is a crucial step in ensuring the proper function of electronic circuits. Inductors are essential components used in various applications, ranging from power electronics to signal processing. Accurately determining their inductance is vital for precise circuit design and analysis. Understanding the methods for measuring inductance empowers engineers, technicians, and hobbyists to confidently assess and troubleshoot inductor performance, leading to optimized circuit operation and enhanced system reliability.

There are several established techniques for measuring inductance, each with its own advantages and limitations. The choice of method depends on the frequency range of interest, the accuracy required, and the availability of equipment. Among the most common methods are the inductance bridge, LCR meter, and resonant circuit techniques. These methods leverage fundamental principles of electromagnetism and circuit analysis to derive the inductance value of the inductor under test. An inductance bridge, for instance, employs a balanced bridge circuit to compare the unknown inductance with a known reference inductor, providing high precision and accuracy. LCR meters, on the other hand, offer a convenient and versatile solution, combining the measurement of inductance (L), capacitance (C), and resistance (R) in a single device. Resonant circuit techniques, as the name suggests, utilize the resonant frequency of an inductor and capacitor combination to determine the inductance value.

Regardless of the method employed, careful consideration must be given to factors that can affect the accuracy of inductance measurements. These factors include the frequency at which the measurement is performed, the presence of stray inductance and capacitance, and the temperature stability of the inductor. By understanding these factors and employing appropriate measurement techniques, engineers and technicians can ensure reliable and accurate inductance measurements, enabling them to design and validate electronic circuits with confidence.

Understanding Inductance and Inductors

What is Inductance?

Inductance is a property of electrical circuits that represents their ability to store magnetic energy. When current flows through an inductor, it creates a magnetic field. The magnetic field stores energy, and when the current is turned off, the magnetic field collapses, releasing the stored energy. The amount of inductance in a circuit is measured in henrys (H).

Inductors are electrical components that are designed to have a high inductance. They are typically made of a coil of wire, and the inductance of the inductor increases with the number of turns in the coil and the area of the coil. Inductors are used in a variety of applications, including:

Application Purpose
Power supplies To smooth out the voltage
Filters To block or pass certain frequencies
Resonant circuits To create a resonant frequency

Measuring Inductance Using a Digital Multimeter

Most digital multimeters (DMMs) have a capacitance measurement function, but not all have an inductance measurement function. If your DMM does not have an inductance measurement function, you can use a capacitor and a resistor to create a simple LC resonant circuit. By measuring the resonant frequency of the circuit, you can calculate the inductance of the inductor.

To create an LC resonant circuit, you will need the following components:

A capacitor with a known capacitance

A resistor with a known resistance

An inductor with an unknown inductance

Connect the components together as shown in the diagram below.

Apply a sinusoidal voltage to the circuit and measure the voltage across the capacitor. The resonant frequency of the circuit is the frequency at which the voltage across the capacitor is maximum.

Once you know the resonant frequency of the circuit, you can calculate the inductance of the inductor using the following formula:

L = 1 / (4 * pi^2 * f^2 * C)

where:

    L is the inductance of the inductor in henrys (H)

    f is the resonant frequency of the circuit in hertz (Hz)

    C is the capacitance of the capacitor in farads (F)

Example

Suppose you have a capacitor with a capacitance of 100 nF and a resistor with a resistance of 1 kΩ. You connect these components to an inductor with an unknown inductance and measure the resonant frequency of the circuit to be 1 kHz. Using the formula above, you can calculate the inductance of the inductor to be:


L = 1 / (4 * pi^2 * (1 kHz)^2 * 100 nF)
= 1 / (4 * pi^2 * 1000^2 * 100 * 10^-9)
= 25.33 mH

Inductance Measurement with an LCR Meter

An LCR meter is the most common and accurate tool used for measuring the inductance of an inductor. This device sends a known AC current through the inductor and measures the voltage and phase shift of the resulting AC voltage across the inductor.

Measuring Inductance with an LCR Meter

To measure the inductance of an inductor using an LCR meter, follow these steps:

  1. Connect the LCR meter to the inductor terminals.
  2. Set the LCR meter to the inductance measurement mode.
  3. Read the inductance value displayed on the LCR meter, which is typically in millihenries (mH) or microhenries (µH).

Calibration and Accuracy

The accuracy of the inductance measurement depends on the calibration of the LCR meter. It is recommended to calibrate the LCR meter regularly to ensure its accuracy and reliability.

Various factors can affect the accuracy of the inductance measurement, including:

  • Frequency of the test signal: The inductance of an inductor can vary depending on the frequency of the AC signal, especially for inductors with a high Q factor.
  • Test leads and connections: Ensure that the test leads have low resistance and are properly connected to the inductor terminals.
  • Environmental conditions: Temperature and humidity can affect the inductance of some inductors. It is important to measure inductance under controlled environmental conditions for precise results.

By considering these factors and following the recommended calibration procedures, you can ensure accurate and reliable inductance measurements using an LCR meter.

Resonance-Based Inductance Measurement

Q-Meter Method

The Q-meter method relies on a device called a Q-meter, which measures the inductance, capacitance, and quality factor of a component. To measure an inductor using a Q-meter:

1. Connect the inductor to the Q-meter terminals.
2. Adjust the frequency of the Q-meter until resonance occurs, indicated by a peak reading on the meter.
3. Read the inductance value from the Q-meter display.

Tuned Circuit Method

The tuned circuit method involves building a resonant circuit consisting of an inductor, capacitor, and variable-frequency oscillator. By adjusting the oscillator frequency until resonance occurs, the inductance of the inductor can be calculated.

The resonance frequency (f) of a tuned circuit is determined by its inductance (L) and capacitance (C):

f = 1 / (2π√(LC))

Measuring Procedure

1. Construct a tuned circuit using the inductor, a known capacitor, and an oscillator.
2. Adjust the oscillator frequency until the circuit resonates, as indicated by a maximum reading on a voltmeter connected across the circuit.
3. Calculate the inductance from the resonance frequency using the above equation.

LC Oscillator Method

The LC oscillator method uses an inductor and capacitor to create an oscillating circuit. By measuring the frequency of oscillation, the inductance can be calculated.

The oscillation frequency (f) of an LC oscillator is determined by its inductance (L) and capacitance (C):

f = 1 / (2π√(LC))

Measuring Procedure

1. Build an LC oscillator circuit consisting of the inductor, a known capacitor, and a power supply.
2. Measure the oscillation frequency using an oscilloscope or frequency counter.
3. Calculate the inductance from the oscillation frequency using the above equation.

Bridge Circuit Techniques for Inductance Measurement

Bridge circuits are a versatile and accurate method for measuring inductance. By balancing an unknown inductance against a known reference, it’s possible to determine the value of the unknown inductor with high precision. There are several different types of bridge circuits used for inductance measurement, each with its own advantages and limitations.

Maxwell-Wien Bridge

The Maxwell-Wien bridge is a simple and popular bridge circuit for measuring inductance. It consists of a series of resistors and capacitors that are arranged to form a balanced bridge. When the bridge is balanced, the voltage across the unknown inductor is zero, and the value of the inductor can be calculated from the values of the other components in the circuit.

Hay Bridge

The Hay bridge is another popular bridge circuit for measuring inductance. It is similar to the Maxwell-Wien bridge, but it uses a different arrangement of resistors and capacitors. The Hay bridge is often used to measure inductances that are in the range of 1 mH to 1 H.

Schering Bridge

The Schering bridge is a more complex bridge circuit that is used to measure inductances that are in the range of 1 μH to 100 μH. It uses a combination of resistors, capacitors, and an inductor to form a balanced bridge. The Schering bridge is a very accurate method for measuring inductance, but it is also more complex and expensive than the Maxwell-Wien and Hay bridges.

Anderson Bridge

The Anderson bridge is a type of bridge circuit used specifically for measuring large inductances, typically in the range of 10 H to 100 H. It uses a pair of inductors, one known and one unknown, to form a balanced bridge. The unknown inductance is calculated by adjusting the known inductance until the bridge is balanced.

Owen Bridge

The Owen bridge is a variation of the Anderson bridge that is used for measuring inductances in the range of 100 μH to 10 mH. It uses a combination of resistors, capacitors, and an inductor to form a balanced bridge. The Owen bridge is a versatile and accurate method for measuring inductance in this range.

Using an Oscilloscope for Inductance Determination

An oscilloscope can be used to determine the inductance of an inductor by measuring the time constant of a simple LC circuit. This method relies on the fact that the time constant of an LC circuit is equal to L/R, where L is the inductance and R is the resistance. By measuring the time constant and the resistance, the inductance can be calculated.

To measure the time constant of an LC circuit, connect the inductor in series with a resistor and a power supply. Then, connect the oscilloscope across the inductor. Adjust the power supply voltage so that the inductor is just starting to saturate. This will cause the current through the inductor to be approximately sinusoidal.

Start the oscilloscope and trigger it on the rising edge of the voltage waveform across the inductor. Measure the time between the rising edge of the voltage waveform and the point where the voltage reaches its maximum value. This time is equal to the time constant of the LC circuit.

To calculate the inductance, divide the time constant by the resistance. The inductance will be expressed in henrys (H).

Procedure

1. Connect the inductor in series with a resistor and a power supply.
2. Connect the oscilloscope across the inductor.
3. Adjust the power supply voltage so that the inductor is just starting to saturate.
4. Start the oscilloscope and trigger it on the rising edge of the voltage waveform across the inductor.
5. Measure the time between the rising edge of the voltage waveform and the point where the voltage reaches its maximum value.
6. Calculate the inductance by dividing the time constant by the resistance.

Example

Suppose that an inductor is connected in series with a 100-ohm resistor and a 5-volt power supply. The time constant of the LC circuit is measured to be 100 microseconds. The inductance of the inductor is therefore:

“`
L = RC = (100 microseconds)(100 ohms) = 10 millihenrys
“`

Measuring Inductors in Circuit with AC Signals

Inductor measurement in a circuit with alternating current signals can be challenging, but it is a crucial part of circuit analysis and troubleshooting. Here’s a detailed guide on how to measure an inductor in a circuit with AC signals:

1. Equipment

– Multimeter or LCR meter
– Function generator
– Oscilloscope (optional)

2. Setup

– Connect the inductor in series with a resistor
– Connect a function generator to provide an AC signal
– Connect a multimeter or LCR meter across the inductor

3. Measure AC Voltage

– Set the multimeter to measure AC voltage
– Record the voltage across the inductor

4. Measure AC Current

– Set the multimeter to measure AC current
– Record the current through the inductor

5. Calculate Inductance

– Use the following formula to calculate the inductance:
– Inductance = Voltage / Current

6. Frequency Considerations

– The frequency of the AC signal will affect the inductance measurement.
– For accurate measurements, use a frequency within the inductor’s operating range.

7. Additional Precautions

– Ensure the inductor is not saturated by the AC signal.
– Use a resistor in series to limit the current through the inductor.
– Consider using shielded cables and grounding the equipment to minimize noise and interference.

8. Troubleshooting

– No reading: Check connections, ensure the inductor is not faulty.
– Incorrect reading: Check the frequency of the AC signal, use a higher or lower frequency.

9. Advanced Measurement Techniques

– Use an oscilloscope to measure the phase difference between voltage and current.
– Use an LCR meter for more precise inductance measurements.

Eddy Current Losses and Their Impact on Inductance Measurement

Eddy currents, also known as Foucault currents, are swirling electrical currents that can form within conductors when they are exposed to a varying magnetic field. In the context of inductance measurement, eddy currents can cause errors due to their energy dissipation and magnetic field generation. The impact of eddy currents on inductance measurement depends on various factors, including the frequency of the measurement signal, the magnetic permeability of the conductor, and the geometry of the inductor.

Mechanisms of Eddy Current Losses

Eddy currents flow in closed loops within the conductor, perpendicular to both the applied magnetic field and the direction of current flow. The magnitude of the eddy current loss is determined by the conductivity, thickness, and shape of the conductor, as well as the frequency and strength of the magnetic field.

Impact on Inductance Measurement

Eddy currents can introduce errors in inductance measurement by altering the magnetic field distribution within the inductor. This can result in an overestimation of inductance, especially at high frequencies. The error becomes more significant as the frequency increases and the conductor becomes thicker.

Mitigation Techniques

Several techniques can be employed to minimize the impact of eddy currents on inductance measurement:

  • Using Laminated Cores: Laminated cores, constructed from thin sheets of conductive material separated by insulating layers, reduce eddy currents by increasing the electrical resistance of the path.
  • Employing Ferrites: Ferrites, which have high magnetic permeability and low electrical conductivity, can be used to minimize eddy currents.
  • Using High-Frequency Measurement Techniques: High-frequency measurement techniques, such as impedance spectroscopy, can reduce the impact of eddy currents by operating at frequencies where eddy current losses are less significant.

Summary of Eddy Current Effects

The table below summarizes the effects of eddy currents on inductance measurement:

Factor Effect
Frequency Increased eddy current losses
Conductor Permeability Higher permeability reduces eddy currents
Conductor Geometry Complex shapes increase eddy currents

Troubleshooting Inductance Measurement Issues

When measuring inductance, several issues can lead to inaccurate or inconclusive results. Here are some common troubleshooting tips:

1. Calibration and Accuracy

Ensure that your inductance meter is calibrated and within its specified accuracy range. Regular calibration is crucial for maintaining the accuracy of your measurements.

2. Lead Resistance

Consider the lead resistance of your test leads, which can introduce additional resistance into the measurement circuit. Compensate for lead resistance by using the meter’s lead compensation feature.

3. Test Frequency

Inductors can exhibit different inductance values at different test frequencies. Select the appropriate test frequency for your application and use a meter that supports the desired frequency range.

4. Stray Inductance

Stray inductance from nearby conductors or components can interfere with inductance measurements. Minimize stray inductance by keeping the test setup away from potential sources of interference.

5. Temperature Effects

Inductance can vary with temperature. Perform measurements at a stable temperature or compensate for temperature effects using the meter’s temperature correction feature.

6. Parasitic Capacitance

Parasitic capacitance between the inductor and the circuit can affect inductance measurements. Use a meter with a high-impedance input to minimize the effects of parasitic capacitance.

7. Shield Length

The shield length of the test leads can impact inductance measurements. Use shielded test leads with the appropriate length for your application.

8. Grounding

Proper grounding is essential to minimize noise and ensure accurate measurements. Connect the meter’s ground terminal to a stable ground reference.

9. Test Signal Level

Excessive test signal levels can cause saturation or nonlinearity in the inductor, leading to inaccurate measurements. Use a test signal level that is appropriate for the inductor under test.

10. Component Selection

The type of inductor, its core material, and its construction can affect inductance measurements. Consider the inductor’s characteristics and use a meter that is suitable for the specific type of inductor being tested.

To help troubleshoot inductance measurement issues, the following table provides some additional guidance:

Symptom Possible Cause
Inaccurate or inconsistent measurements Calibration issue, lead resistance, test frequency, stray inductance
Temperature drift Temperature effects
Capacitance effects Parasitic capacitance, improper grounding
Saturation or nonlinearity Excessive test signal level
Component-specific issues Inductor type, core material, construction

How to Measure an Inductor

Inductors are passive electronic components that store energy in a magnetic field. They are used in a wide variety of applications, including power supplies, filters, and oscillators. The inductance of an inductor is measured in henrys (H). There are two main methods for measuring the inductance of an inductor: using a multimeter or using an inductance meter.

Using a Multimeter

To measure the inductance of an inductor using a multimeter, follow these steps:

  1. Set the multimeter to the inductance range.
  2. Connect the positive lead of the multimeter to one terminal of the inductor.
  3. Connect the negative lead of the multimeter to the other terminal of the inductor.
  4. Read the inductance value from the multimeter display.

Using an Inductance Meter

To measure the inductance of an inductor using an inductance meter, follow these steps:

  1. Set the inductance meter to the appropriate range.
  2. Connect the positive lead of the inductance meter to one terminal of the inductor.
  3. Connect the negative lead of the inductance meter to the other terminal of the inductor.
  4. Read the inductance value from the inductance meter display.

People Also Ask About How to Measure an Inductor

What is the difference between an inductor and a capacitor?

An inductor is a passive electronic component that stores energy in a magnetic field, while a capacitor is a passive electronic component that stores energy in an electric field.

What is the unit of inductance?

The unit of inductance is the henry (H).

How do I measure the inductance of an inductor with a multimeter?

To measure the inductance of an inductor with a multimeter, set the multimeter to the inductance range and connect the positive lead to one terminal of the inductor and the negative lead to the other terminal of the inductor. Read the inductance value from the multimeter display.