Concept:In electromagnetism, the vector \( \mathbf{B} \) is commonly referred to by two different but synonymous names depending on context, yet they describe the exact same physical property and share the same dimensions.
Formula:$$ \mathbf{B} = \frac{\Phi}{A} $$
Solution:- The term "Magnetic Field" or "Magnetic Induction" refers to the vector \( \mathbf{B} \) measured in Tesla.
- Because flux \( \Phi \) is field multiplied by area, rearranging gives \( B = \Phi / A \).
- Therefore, \( \mathbf{B} \) is mathematically the amount of magnetic flux per unit area.
- Thus, its formal descriptive name is Magnetic flux density, proving they have identical dimensions.
Why other options are incorrect:Option B (Flux) differs by a dimension of area (\( L^2 \)). Option C is a force (Newtons). Option D is energy (Joules). None share the dimensions of Tesla.
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