Physics Electromagnetic Induction UHS 2023
PMDC Verified Question 21 of 69
The quantity \( \frac{\Delta \phi}{\Delta t} \) has the same units as that of?
A
Current
B
Magnetic induction
C
Charge
D
Emf
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option D: Emf
Concept:

Faraday's Law directly equates the rate of change of magnetic flux to induced voltage.

Formula:

$$ \varepsilon = -N \frac{\Delta \phi}{\Delta t} $$

Solution:

  • The left side of the equation represents Electromotive Force (EMF), which is measured in Volts.


  • Therefore, the right side term, \( \frac{\Delta \phi}{\Delta t} \) (Webers per second), must dimensionally equal Volts. Thus, it has the same units as EMF.


Why other options are incorrect:

Current is Amperes, Magnetic induction is Teslas, and Charge is Coulombs. None of these match the dimensions of Volts.

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