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G5B14

ELECTRICAL PRINCIPLES · - The decibel; current and voltage dividers; electrical power calculations; sine wave root-mean-square (RMS) values; PEP calculations

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What is the output PEP of 500 volts peak-to-peak across a 50-ohm load?

  1. A8.75 watts
  2. B625 watts
  3. C2500 watts
  4. D5000 watts
Why For a sine wave, PEP equals the RMS voltage squared divided by the load resistance. Half of 500 V peak-to-peak is 250 V peak, and RMS is peak divided by the square root of 2, about 176.8 V. Then 176.8 squared divided by 50 ohms gives 625 watts. The one-step shortcut is P = Vpp squared divided by 8R: 250,000 / (8 x 50) = 625 W.
Watch out The choice that says 2500 watts comes from plugging the full peak-to-peak voltage into P = V squared / (2R) as if it were peak, skipping the conversion to RMS; 5000 watts treats 500 V p-p as if it were RMS.
PEP = Vpp squared / 8R. Divide peak-to-peak by 2 for peak, by 2.828 for RMS.
HamSandwich explanation, first draft. The question and answers are the NCVEC text.
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The rest of G5B

  1. G5B01 What dB change represents a factor of two increase or decrease in power?
  2. G5B02 How does the total current relate to the individual currents in a circuit of parallel resistors?
  3. G5B03 How many watts of electrical power are consumed if 400 VDC is supplied to an 800-ohm load?
  4. G5B04 How many watts of electrical power are consumed by a 12 VDC light bulb that draws 0.2 amperes?
  5. G5B05 How many watts are consumed when a current of 7.0 milliamperes flows through a 1,250-ohm resistance?
  6. G5B06 What is the PEP produced by 200 volts peak-to-peak across a 50-ohm dummy load?
  7. G5B07 What value of an AC signal produces the same power dissipation in a resistor as a DC voltage of the same valu…
  8. G5B08 What is the peak-to-peak voltage of a sine wave with an RMS voltage of 120 volts?
  9. G5B09 What is the RMS voltage of a sine wave with a value of 17 volts peak?
  10. G5B10 What percentage of power loss is equivalent to a loss of 1 dB?
  11. G5B11 What is the ratio of PEP to average power for an unmodulated carrier?
  12. G5B12 What is the RMS voltage across a 50-ohm dummy load dissipating 1200 watts?
  13. G5B13 What is the output PEP of an unmodulated carrier if the average power is 1060 watts?
  14. G5B14 What is the output PEP of 500 volts peak-to-peak across a 50-ohm load?
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