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Question

RMS value is defined based on which of the following?

The correct answer is

Heating effect

Therefore, the RMS value is fundamentally defined based on the heating effect . In summary, the RMS value of an AC quantity is defined as the equivalent DC value that produces the same heating effect (or average power) in a resistor.

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Important Questions from RMS Value of Time Varying Waveforms

  1. xR and xA are, respectively, the rms and average values of x(t) = x(t - T), and similarly, yR and yA are, respectively, the rms and average values of y(t) = kx(t), k, T are independent of t. Which of the following is true?

  2. The voltage 'V' and current 'A' across a load are as follows.

    V(t) = 100 sin(ωt)

    i(t) = 10 sin(ωt - 60°) + 2 sin(3ωt) + 5 sin(5ωt)

    The average power consumed by the load, in W, is___________.

  3. A resistor connected to a DC supply of 20 V produces the same heating effect as an AC supply connected across the same resistor. What is the RMS value of the AC voltage?

  4. Which of the following factor have value of 1.1 for sinusoidal alternating current only?

  5. The rms value of a sinusoidal ac current is numerically equal to its value at an angle of _______ degrees

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