Sinusoidal Waveforms in Power Electronics
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Questions and Answers

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?

    <p>Zero</p> Signup and view all the answers

    What is the RMS value of a sinusoidal waveform?

    <p>peak value divided by square root of 2</p> Signup and view all the answers

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

    <p>By adding the DC offset to the peak value</p> Signup and view all the answers

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

    <p>Sum of the RMS value of the sinusoidal component and the DC offset</p> Signup and view all the answers

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

    <p>ω = 2π.f</p> Signup and view all the answers

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

    <p>Vpk = Vpk-pk/2</p> 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?

    <p>f = 1/T</p> 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>$P_{ave} = V_{DC} \cdot I_{DC}$</p> 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>$P_{ave} = V_{rms} \cdot I_{rms}$</p> 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?

    <p>$V_{ave} = V_{dc}$</p> 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?

    <p>$V_{rms_{total}} = \sqrt{V_{rms_{sin}}^2 + V_{dc}^2}$</p> 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?

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

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

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

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

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

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

    <p>$ω = 2 \cdot π \cdot f$</p> Signup and view all the answers

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

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

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

    <p>$Vrms = \sqrt{\frac{Vpk^2}{2\pi} \int_{0}^{2\pi} \sin^2(q) dq}$</p> 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?

    <p>$Pave = VDC.IDC$</p> 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?

    <p>$Pave = Vrms.Irms$</p> 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?

    <p>$Vrms_{total} = \sqrt{Vrms_{sin}^2 + Vdc^2}$</p> 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?

    <p>$Vave = Vmax - \frac{Vpk}{2}$</p> 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?

    <p>$Vave = 4.5V$</p> 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?

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

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