Physics Electromagnetism ETEA 2022
PMDC Verified Question 32 of 58
The unit of magnetic flux is:
A
\( \text{NA}^{-1}\text{m} \)
B
\( \text{NA}^{-1}\text{m}^{-1} \)
C
\( \text{NA}^2\text{m}^{-4} \)
D
Tesla
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

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

Magnetic flux is the product of magnetic field and area. To find its fundamental derived SI unit, we combine the constituent equations.

Formula:

$$ \Phi = B \cdot A = \left( \frac{F}{IL} \right) \cdot A $$

Solution:

  • Start with the formula substituting standard units: \( \text{Wb} = \text{Tesla} \cdot \text{m}^2 \).


  • Expand Tesla using the force law: \( \text{T} = \frac{\text{N}}{\text{A \cdot m}} \).


  • Multiply by area (\( \text{m}^2 \)): \( \Phi = \left( \frac{\text{N}}{\text{A \cdot m}} \right) \cdot \text{m}^2 \).


  • Simplify the meters: \( \frac{\text{N \cdot m}}{\text{A}} = \text{N A}^{-1} \text{m} \).


Why other options are incorrect:

Option B is the unit for the magnetic field (Tesla) itself. Options C is an incorrect dimension. Option D is specifically the unit of magnetic field strength, not flux.

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