Q. What is the relationship between frequency and the time period of an AC signal? (2023)
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A.
Frequency = Time period × 2
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B.
Frequency = 1 / Time period
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C.
Frequency = Time period / 2
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D.
Frequency = Time period × π
Solution
The frequency (f) is the reciprocal of the time period (T), given by f = 1 / T.
Correct Answer: B — Frequency = 1 / Time period
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Q. What is the relationship between RMS and average value of an AC waveform? (2023)
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A.
RMS = Average
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B.
RMS = Average × √2
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C.
RMS = Average / √2
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D.
RMS = Average × 2
Solution
For a sinusoidal AC waveform, the RMS value is related to the average value by RMS = Average / √2.
Correct Answer: C — RMS = Average / √2
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Q. What is the relationship between the frequency and the inductive reactance? (2023)
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A.
Directly proportional
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B.
Inversely proportional
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C.
No relationship
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D.
Exponentially related
Solution
Inductive reactance (X_L) is directly proportional to frequency (f), as given by the formula X_L = 2πfL.
Correct Answer: A — Directly proportional
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Q. What is the relationship between the RMS and average value of a sinusoidal AC current? (2023)
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A.
RMS = Average
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B.
RMS = Average × √2
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C.
RMS = Average / √2
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D.
RMS = Average × 2
Solution
For a sinusoidal AC current, the relationship is RMS = Average / √2.
Correct Answer: C — RMS = Average / √2
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Q. What is the resonant frequency of a series RLC circuit? (2020)
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A.
f = 1/(2π√(LC))
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B.
f = R/(2πL)
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C.
f = 2π√(LC)
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D.
f = 1/(2πR)
Solution
The resonant frequency (f) of a series RLC circuit is given by the formula f = 1/(2π√(LC)).
Correct Answer: A — f = 1/(2π√(LC))
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Q. What is the total power consumed in a circuit with a power factor of 0.6, if the apparent power is 100 VA? (2023)
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A.
60 W
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B.
100 W
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C.
40 W
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D.
80 W
Solution
The real power (P) can be calculated using P = Power Factor × Apparent Power. Therefore, P = 0.6 × 100 VA = 60 W.
Correct Answer: A — 60 W
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Q. What is the unit of inductive reactance? (2020)
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A.
Ohm
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B.
Henry
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C.
Farad
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D.
Tesla
Solution
Inductive reactance (X_L) is measured in Ohms (Ω), which is the same unit used for resistance.
Correct Answer: A — Ohm
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