Practice Ac Waveform And Its Mathematical Representation (9.3) - Alternating Current

Practice: AC Waveform and its Mathematical Representation

Lesson 9.3Alternating Current

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8 questions

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2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
2 questions · about 1 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What does Imax represent in the AC waveform equation?
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Think about the highest point of the wave.
Question 2.
What does the phase angle (ϕ) indicate?
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It shows where the wave starts.
3Question 3.
What is the formula to calculate instantaneous current in a sinusoidal AC wave?
- I(t) = Imax * cos(ωt + φ)
- I(t) = Imax * sin(ωt + φ)
- I(t) = Imax * tan(ωt + φ)
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Recall the sine function is used for AC representation.
4Question 4.
True or False: The phase angle (ϕ) represents the initial timing of the current wave.
- True
- False
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Think about where the wave starts in time.
Question 5.
If a sinusoidal wave has a frequency of 120 Hz and the maximum current is 15 A, calculate the instantaneous current at t = 0.005 seconds.
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Convert frequency into angular frequency and substitute into the wave equation.
Question 6.
Two AC signals with phase angles of 0° and 90° respectively are combined. What is the phase difference, and how does this impact their resultant power factor?
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Consider how such angles relate to efficiency in an AC circuit.

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