Sinusoidal Waveforms in Power Electronics

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Which one of these statements is true about a pure sinusoidal voltage?

It has a constant amplitude

It is always positive

It is centered around zero volts (correct)

It has a constant frequency

What is the peak-to-peak voltage (Vpk-pk) equal to?

Vpk-pk = 2Vpk (correct)

Vpk-pk = Vrms

Vpk-pk = Vavg

Vpk-pk = Vpk

What is the frequency of a sinusoidal waveform with a period of 1 second?

1 Hz (correct)

0.5 Hz

2 Hz

0.25 Hz

What is the average value of a sinusoidal waveform?

Zero Signup and view all the answers

What is the RMS value of a sinusoidal waveform?

peak value divided by square root of 2 Signup and view all the answers

How can the average value of a sinusoidal waveform with a DC offset be calculated?

By adding the DC offset to the peak value Signup and view all the answers

What is the total RMS value of a sinusoidal waveform with a DC offset?

Sum of the RMS value of the sinusoidal component and the DC offset Signup and view all the answers

What is the formula to calculate the angular frequency (ω) of a sinusoidal waveform?

ω = 2π.f Signup and view all the answers

What is the formula to calculate the peak voltage (Vpk) of a sinusoidal waveform?

Vpk = Vpk-pk/2 Signup and view all the answers

What is the formula to calculate the frequency (f) of a sinusoidal waveform with a period of T seconds?

f = 1/T Signup and view all the answers

Which one of these is the formula to calculate the average power loss in a resistor in a DC system?

$P_{ave} = V_{DC} \cdot I_{DC}$ Signup and view all the answers

Which one of these is the formula to calculate the average power loss in a resistor in an AC system?

$P_{ave} = V_{rms} \cdot I_{rms}$ Signup and view all the answers

Which one of these is the formula to calculate the average value of a sinusoidal waveform with a DC offset?

$V_{ave} = V_{dc}$ Signup and view all the answers

Which one of these is the formula to calculate the total RMS voltage of a sinusoidal waveform with a DC offset?

$V_{rms_{total}} = \sqrt{V_{rms_{sin}}^2 + V_{dc}^2}$ Signup and view all the answers

Which one of these is the formula to calculate the RMS value of a sinusoidal waveform with a DC offset?

$V_{rms_{sin}} = V_{pk_{sin}} / \sqrt{2}$ Signup and view all the answers

Which one of these is the formula to calculate the average power of a sinusoidal waveform?

$P_{ave} = V_{pk} \cdot I_{pk} / 2$ Signup and view all the answers

Which one of these is the formula to calculate the peak-to-peak voltage of a sinusoidal waveform?

$V_{pk-pk} = 2 \cdot V_{pk}$ Signup and view all the answers

Which one of these is the formula to calculate the angular frequency (ω) of a sinusoidal waveform?

$ω = 2 \cdot π \cdot f$ Signup and view all the answers

Which one of these formulas can be used to calculate the average value (Vave) of a sinusoidal waveform?

$Vave = \frac{1}{t} \int_{0}^{t} v(q) dq$ Signup and view all the answers

Which one of these formulas can be used to calculate the RMS value (Vrms) of a sinusoidal waveform?

$Vrms = \sqrt{\frac{Vpk^2}{2\pi} \int_{0}^{2\pi} \sin^2(q) dq}$ Signup and view all the answers

Which one of these formulas can be used to calculate the average power (Pave) in a resistor in a DC system?

$Pave = VDC.IDC$ Signup and view all the answers

Which one of these formulas can be used to calculate the average power (Pave) in a resistor in an AC system?

$Pave = Vrms.Irms$ Signup and view all the answers

Which one of these formulas can be used to calculate the total RMS voltage (Vrms_total) of a sinusoidal waveform with a DC offset?

$Vrms_{total} = \sqrt{Vrms_{sin}^2 + Vdc^2}$ Signup and view all the answers

Which one of these formulas can be used to calculate the average voltage (Vave) of a sinusoidal waveform with a DC offset?

$Vave = Vmax - \frac{Vpk}{2}$ Signup and view all the answers

Which one of these formulas can be used to calculate the average voltage (Vave) of a sinusoidal waveform with a DC offset, given Vmax = 12V and Vmin = -3V?

$Vave = 4.5V$ Signup and view all the answers

Which one of these formulas can be used to calculate the RMS voltage (Vrms_sin) of a sinusoidal waveform with a DC offset, given Vmax = 12V and Vmin = -3V?

$Vrms_{sin} = \frac{Vpk}{\sqrt{2}} Signup and view all the answers