Physics Electromagnetic Induction UHS 2022
PMDC Verified Question 38 of 69
The unit of \( \frac{\Delta \phi}{\Delta t} \) can be written as?
A
\( \text{N m A}^{-2} \text{s}^{-1} \)
B
\( \text{N m A s}^{-1} \)
C
\( \text{N m A}^{-1} \text{s}^{-1} \)
D
\( \text{N m A}^{-2} \text{s}^{1} \)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option C: \( \text{N m A}^{-1} \text{s}^{-1} \)
Concept:

According to Faraday's law, the rate of change of magnetic flux equals induced EMF, whose SI unit is the Volt (\( \text{V} \)).

Solution:

  • Voltage is Joules per Coulomb: \( 1 \text{ V} = 1 \text{ J C}^{-1} \).


  • Break down Joules (\( \text{J} = \text{N m} \)) and Coulombs (\( \text{C} = \text{A s} \)).


  • Substituting these in:

    $$ \text{Unit} = \frac{\text{N m}}{\text{A s}} = \text{N m A}^{-1} \text{s}^{-1} $$


Why other options are incorrect:

Other options have incorrect powers for Ampere (\( \text{A} \)) or second (\( \text{s} \)), resulting in invalid dimensional equivalents for Voltage.

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