Units and dimensions: identify whether the unit of magnetic flux density (B) is the weber, or whether the weber actually measures magnetic flux (Φ) while the tesla is the unit for magnetic flux density.

Difficulty: Easy

Correct Answer: Incorrect

Explanation:


Introduction / Context:
Accurate units prevent design and documentation errors. Magnetic flux density B and magnetic flux Φ are closely related but measured in different SI units. The statement claims the unit of B is the weber, which needs verification.



Given Data / Assumptions:

  • SI unit system is used.
  • Magnetic flux Φ has units of weber (Wb).
  • Magnetic flux density B is flux per unit area.


Concept / Approach:
By definition, B = Φ / A. In SI, Φ is measured in weber and area in square meters, so B is measured in weber per square meter. One weber per square meter is defined as one tesla (T). Therefore, the unit of magnetic flux density is the tesla, not the weber. The weber measures total flux, not flux density.



Step-by-Step Solution:

1) Start with B = Φ / A.2) Substitute units: B units = Wb / m^2.3) Recognize that 1 T = 1 Wb/m^2 by SI definition.4) Conclude the statement “B unit is weber” is incorrect; it should be tesla.


Verification / Alternative check:
Standard SI tables list tesla (T) as the unit for B and weber (Wb) for Φ. Conversions and dimensional analysis confirm this relationship.



Why Other Options Are Wrong:
Correct: would assert the incorrect unit. cgs vs SI: in cgs (gauss for B), but in SI, the correct unit is tesla; the claim is still wrong in SI context.

AC vs DC does not change the unit system.



Common Pitfalls:
Confusing flux with flux density; mixing SI and cgs units (tesla vs gauss).



Final Answer:
Incorrect

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