Physics Electromagnetic Induction UHS 2024
PMDC Verified Question 10 of 69
In an AC generator the emf will be maximum when factor \( \sin(\omega t) \) is equal to
A
Zero
B
1
C
2
D
1/2
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option B: 1
Concept:

The voltage output of an AC generator is described by a sinusoidal function.

Formula:

$$ \varepsilon = \varepsilon_0 \sin(\omega t) $$

Solution:

  • The induced EMF (\( \varepsilon \)) scales linearly with the value of the sine function.


  • In trigonometry, the absolute maximum value of a sine function is \( 1 \) (occurring at \( 90^\circ \) or \( \frac{\pi}{2} \) radians).


  • Therefore, when \( \sin(\omega t) = 1 \), the generator produces its peak voltage, \( \varepsilon_0 \).


Why other options are incorrect:

A value of zero yields zero EMF. The sine function can never exceed 1, so \( 2 \) is mathematically impossible. A value of \( 1/2 \) only yields half of the maximum EMF.

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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