Physics Alternating Current PMDC Conceptual Practice
PMDC Verified Question 22 of 127
The domestic mains voltage in Pakistan is rated at \(220\text{ V}\). What is the approximate peak-to-peak voltage (\(V_{p-p}\)) of this AC supply?
A
\(220\text{ V}\)
B
\(311\text{ V}\)
C
\(440\text{ V}\)
D
\(622\text{ V}\)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option D: \(622\text{ V}\)
Concept:

Household rated voltage is the RMS value. Peak voltage is \(V_0 = \sqrt{2} V_{\text{rms}}\), and peak-to-peak voltage is \(V_{p-p} = 2V_0\).

Formula / Reaction:

$$V_0 = \sqrt{2} V_{\text{rms}} \approx 1.414 \times 220 \approx 311.1\text{ V}$$
$$V_{p-p} = 2V_0 = 2 \times 311.1\text{ V} \approx 622.2\text{ V}$$

Solution:

  • \(V_{\text{rms}} = 220\text{ V}\).


  • \(V_0 = 220 \times 1.414 = 311.1\text{ V}\).


  • \(V_{p-p} = +V_0 - (-V_0) = 2V_0 = 2(311.1\text{ V}) = 622\text{ V}\).


Why other options are incorrect:

  • Opt_A: \(220\text{ V}\) is the RMS voltage \(V_{\text{rms}}\).


  • Opt_B: \(311\text{ V}\) is the single peak voltage \(V_0\).


  • Opt_C: \(440\text{ V}\) is double the RMS voltage.

Quality & Fidelity Assurance: Every question on BeambePrep is rigorously curated against the official PMDC syllabus with zero filler, zero out-of-syllabus content, and zero typos. When an authentic past paper originally contained a historical mistake or ambiguity from the examining board (such as UHS or NUMS), BeambePrep faithfully reflects the original paper while detailing the nuance and scientific consensus in the autopsy above.

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