AC Electric Circuits
Mixed-Frequency Signals
31 questions By Tony R. Kuphaldt
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Question 19 of 31
Ideally, an amplifier circuit increases the amplitude of a signal without altering the signal’s wave-shape in the least. Realistically, though, amplifiers always exhibit some degree of distortion.
Describe how harmonic analysis - either with a spectrum analyzer or some other piece of test equipment capable of measuring harmonics in a signal - is used to quantify the distortion of an amplifier circuit.
Reveal answerA pure sine wave is input to the amplifier under test, and a spectrum analyzer is connected to the amplifier’s output.
Notes:The answer given is purposefully vague. All I did is describe what gets connected to the amplifier, not how to interpret the measurements. Ask your students to explain why a pure sine wave is chosen as the test signal, and what sort of response would be considered ideal to see on the spectrum analyzer.
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Question 20 of 31
Under certain conditions, harmonics may be produced in AC power systems by inductors and transformers. How is this possible, as these devices are normally considered to be linear?
Reveal answerI’ll answer this question with another question: is the “B-H” plot for a ferromagnetic material typically linear or nonlinear? This is the key to understanding how an electromagnetic device can produce harmonics from a “pure” sinusoidal power source.
Notes:Ask your students what it means for an electrical or electronic device to be “linear.” How many devices qualify as linear? And of those devices, are they always linear, or are they capable of nonlinear behavior under special conditions?
Use the discussion time to review B-H curves for ferromagnetic materials with your students, asking them to draw the curves and point out where along those curves inductors and transformers normally operate. What conditions, specifically, would make an iron-core device act nonlinearly?
On a similar note, the (slightly) nonlinear nature of ferromagnetic core transformers is known to permit signals to modulate each other in certain audio amplifier designs, to produce a specific kind of audio signal distortion known as intermodulation distortion. Normally, modulation is a function possible only in nonlinear systems, so the fact that modulation occurs in a transformer is proof positive of (at least some degree of) nonlinearity.
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Question 21 of 31
Identify some ways in which harmonics may be mitigated in AC power systems, since they tend to cause trouble for a variety of electrical components.
Reveal answerFilter circuits may be employed to block harmonic frequencies from reaching certain sensitive components.
Notes:The answer given here is correct, but vague. I did not specify the type of filter or exactly how it might be connected to a load. These are questions to ask your students during discussion.
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