Physics Electromagnetism DUHS 2023
PMDC Verified Question 18 of 58
What is the dot product of magnetic induction and unit area?
A
Magnetic flux
B
Magnetic induction
C
Magnetic field
D
Magnetic pole
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option A: Magnetic flux
Concept:

This is a direct translation of the fundamental mathematical definition of a physical quantity in electromagnetism.

Formula:

$$ \Phi = \mathbf{B} \cdot \mathbf{A} $$

Solution:

  • "Magnetic induction" is another term for the magnetic field vector \( \mathbf{B} \).


  • The text specifies the operation is a "dot product" (\( \cdot \)) with the "area" vector \( \mathbf{A} \).


  • The mathematical evaluation of \( \mathbf{B} \cdot \mathbf{A} \) generates a scalar quantity known globally as Magnetic flux.


Why other options are incorrect:

Options B and C are the same thing (the vector \( \mathbf{B} \) itself). Option D is a theoretical magnetic monopole or the physical ends of a magnet, completely unrelated to this calculation.

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