Physics Electromagnetic Induction DUHS 2022
PMDC Verified Question 51 of 69
The mathematical equation representing Faraday's law is:
A
\( E = N \frac{\Delta I}{\Delta t} \)
B
\( E = -N \frac{\Delta \phi}{\Delta t} \)
C
\( E = - \frac{N A I}{\Delta t} \)
D
\( E = - \frac{\Delta \phi}{\Delta t} \)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option B: \( E = -N \frac{\Delta \phi}{\Delta t} \)
Concept:

Faraday's law mathematically relates induced EMF to the rate of change of magnetic flux, with Lenz's law providing the negative sign.

Solution:

  • The induced EMF (\( E \)) in a coil of \( N \) turns is proportional to the rate of change of magnetic flux (\( \frac{\Delta \phi}{\Delta t} \)).


  • The equation is written as: \( E = -N \frac{\Delta \phi}{\Delta t} \), where the negative sign indicates opposition to the change.


Why other options are incorrect:

Option A describes self-induction (using \( L \) instead of \( N \) typically, though conceptually similar). Option D omits the number of turns \( N \), which is required for a multi-turn coil.

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