Physics Electromagnetic Induction DUHS 2022
PMDC Verified Question 52 of 69
The instantaneous emf generated by alternating current generator is written as:
A
\( E = B I N A \sin(\omega t) \)
B
\( E = B N A \omega \sin(\omega t) \)
C
\( E = B I N A \)
D
\( E = \frac{F}{B I N A} \)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option B: \( E = B N A \omega \sin(\omega t) \)
Concept:

The voltage output of an AC generator follows a sinusoidal wave pattern over time.

Formula:

$$ E = E_0 \sin(\omega t) $$

Solution:

  • The peak EMF (\( E_0 \)) generated by a rotating coil is given by \( N \omega A B \).


  • Substituting \( E_0 \) into the instantaneous equation yields: \( E = B N A \omega \sin(\omega t) \).


Why other options are incorrect:

Options A and C mistakenly include Current (\( I \)) in the EMF generation formula, which is a mix-up with magnetic force equations. Option D is mathematically nonsensical for an AC generator.

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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