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? Take k to be any real constant and T > 0, and select the identities that hold for all such signals and constants.
\(y_A=kx_A;\quad y_R=|k|x_R\)
Averaging is linear, so yA = kxA. RMS is nonnegative and \(y_R=\sqrt{k^2\langle x^2\rangle}=|k|x_R\). Thus the universally valid identities are yA = kxA and yR = |k|xR.
Important Questions from RMS Value of Time Varying Waveforms
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?
Which of the following factor have value of 1.1 for sinusoidal alternating current only?
RMS value is defined based on which of the following?
The rms value of a sinusoidal ac current is numerically equal to its value at an angle of _______ degrees
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___________.
