26 Questions
Which one of these statements is true about a pure sinusoidal voltage?
It is centered around zero volts
What is the peak-to-peak voltage (Vpk-pk) equal to?
Vpk-pk = 2Vpk
What is the frequency of a sinusoidal waveform with a period of 1 second?
1 Hz
What is the average value of a sinusoidal waveform?
Zero
What is the RMS value of a sinusoidal waveform?
peak value divided by square root of 2
How can the average value of a sinusoidal waveform with a DC offset be calculated?
By adding the DC offset to the peak value
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
What is the formula to calculate the angular frequency (ω) of a sinusoidal waveform?
ω = 2π.f
What is the formula to calculate the peak voltage (Vpk) of a sinusoidal waveform?
Vpk = Vpk-pk/2
What is the formula to calculate the frequency (f) of a sinusoidal waveform with a period of T seconds?
f = 1/T
Which one of these is the formula to calculate the average power loss in a resistor in a DC system?
$P_{ave} = V_{DC} \cdot I_{DC}$
Which one of these is the formula to calculate the average power loss in a resistor in an AC system?
$P_{ave} = V_{rms} \cdot I_{rms}$
Which one of these is the formula to calculate the average value of a sinusoidal waveform with a DC offset?
$V_{ave} = V_{dc}$
Which one of these is the formula to calculate the total RMS voltage of a sinusoidal waveform with a DC offset?
$V_{rms_{total}} = \sqrt{V_{rms_{sin}}^2 + V_{dc}^2}$
Which one of these is the formula to calculate the RMS value of a sinusoidal waveform with a DC offset?
$V_{rms_{sin}} = V_{pk_{sin}} / \sqrt{2}$
Which one of these is the formula to calculate the average power of a sinusoidal waveform?
$P_{ave} = V_{pk} \cdot I_{pk} / 2$
Which one of these is the formula to calculate the peak-to-peak voltage of a sinusoidal waveform?
$V_{pk-pk} = 2 \cdot V_{pk}$
Which one of these is the formula to calculate the angular frequency (ω) of a sinusoidal waveform?
$ω = 2 \cdot π \cdot f$
Which one of these formulas can be used to calculate the average value (Vave) of a sinusoidal waveform?
$Vave = \frac{1}{t} \int_{0}^{t} v(q) dq$
Which one of these formulas can be used to calculate the RMS value (Vrms) of a sinusoidal waveform?
$Vrms = \sqrt{\frac{Vpk^2}{2\pi} \int_{0}^{2\pi} \sin^2(q) dq}$
Which one of these formulas can be used to calculate the average power (Pave) in a resistor in a DC system?
$Pave = VDC.IDC$
Which one of these formulas can be used to calculate the average power (Pave) in a resistor in an AC system?
$Pave = Vrms.Irms$
Which one of these formulas can be used to calculate the total RMS voltage (Vrms_total) of a sinusoidal waveform with a DC offset?
$Vrms_{total} = \sqrt{Vrms_{sin}^2 + Vdc^2}$
Which one of these formulas can be used to calculate the average voltage (Vave) of a sinusoidal waveform with a DC offset?
$Vave = Vmax - \frac{Vpk}{2}$
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?
$Vave = 4.5V$
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}}
Test your knowledge on the parameters and measurements of sinusoidal waveforms in Power Electronics
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