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A Q meter is best suited for the measurement of the

  1. A
    Quality factor of a capacitance
  2. B
    Distributed capacitance of a coil
  3. C
    Quality factor of piezoelectric sensor
  4. D
    Turns-ratio of a transformer

Solution & Step-by-step Explanation

Understanding the Q Meter's Primary Function

A Q meter is a specialized electronic measuring instrument used primarily in the radio frequency (RF) range. Its main purpose is to measure the quality factor (Q factor) of a component, typically a coil (inductor) or a capacitor, or the characteristics of a resonant circuit.

Key Applications of a Q Meter

The Q factor is a dimensionless parameter that describes how underdamped an oscillator or resonator is, corresponding to how high its Q factor is. For a coil, the Q factor is defined as the ratio of its inductive reactance to its effective resistance at a particular frequency:



Where:

- is the angular frequency ()
- is the inductance of the coil
- is the effective series resistance of the coil

Q meters are particularly adept at measuring the Q factor of inductors, which often have significant distributed capacitance. This inherent parasitic capacitance arises from the electric field between adjacent turns of the coil winding. It acts in parallel with the coil's inductance and affects the coil's performance at high frequencies, including its self-resonant frequency.

The Q meter works by setting up a series resonant circuit with a known low-loss capacitor and the inductor under test. By varying the frequency or the capacitor's value until resonance occurs, the Q meter can determine the Q factor. Changes in the Q factor and resonant frequency due to the distributed capacitance of the coil can be measured, allowing for its calculation.

Analyzing the Options

Let's examine why the Q meter is best suited for measuring the distributed capacitance of a coil:

- Quality factor of a capacitance: While a Q meter can measure the Q factor of a capacitor, its design sensitivity and typical use case often make it more critical for characterizing inductors, especially regarding parasitic effects. Other instruments might be equally or better suited for general capacitance Q measurement.
- Distributed capacitance of a coil: This is a primary application. The parasitic distributed capacitance significantly impacts a coil's high-frequency behavior. The Q meter's ability to measure the Q factor and resonant frequency accurately allows for the determination of this capacitance, making it the best-suited instrument among the choices for this specific measurement.
- Quality factor of piezoelectric sensor: Piezoelectric sensors often have complex impedance characteristics and may require different measurement techniques or specialized equipment (like impedance analyzers) for accurate characterization, particularly concerning their Q factor.
- Turns-ratio of a transformer: The turns-ratio of a transformer is determined by comparing the voltages or currents in the primary and secondary windings, or by directly measuring the ratio of turns. Instruments like turns-ratio testers or oscilloscopes are used for this purpose, not Q meters.

Conclusion

Based on its operational principles and design, the Q meter excels at measuring the quality factor of coils and resonant circuits, which directly relates to determining parameters like the distributed capacitance of a coil.

Practice this question

Try it yourself before checking the explanation above.

A Q meter is best suited for the measurement of the
A
Quality factor of a capacitance
B
Distributed capacitance of a coil
C
Quality factor of piezoelectric sensor
D
Turns-ratio of a transformer

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