Practice AC Waveform and its Mathematical Representation - 9.3 | 9. Alternating Current | ICSE 11 Electricity and Electronics
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AC Waveform and its Mathematical Representation

9.3 - AC Waveform and its Mathematical Representation

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does Imax represent in the AC waveform equation?

💡 Hint: Think about the highest point of the wave.

Question 2 Easy

What does the phase angle (ϕ) indicate?

💡 Hint: It shows where the wave starts.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

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)

💡 Hint: Recall the sine function is used for AC representation.

Question 2

True or False: The phase angle (ϕ) represents the initial timing of the current wave.

True
False

💡 Hint: Think about where the wave starts in time.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

💡 Hint: Convert frequency into angular frequency and substitute into the wave equation.

Challenge 2 Hard

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?

💡 Hint: Consider how such angles relate to efficiency in an AC circuit.

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Reference links

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