A. Gauss
B. Farad
C. Tesla
D. None of the above
C. Tesla
One weber per square metre (1 Wb m⁻²) equals one tesla (T). Tesla is the SI unit of magnetic flux density, which describes the magnetic flux passing through a unit area perpendicular to the magnetic field.
For a uniform magnetic field perpendicular to a surface:
Where:
- B = magnetic flux density, measured in tesla (T).
- Φ = magnetic flux, measured in weber (Wb).
- A = area, measured in square metres (m²).
Therefore:
\[ 1\ \text{T}=1\ \text{Wb/m}^2 \]
Why are the other options incorrect?
- A. Gauss: Gauss also measures magnetic flux density, but 1 gauss = 10⁻⁴ tesla. Therefore, 1 Wb m⁻² equals 10,000 gauss, not one gauss.
- B. Farad: Farad is the SI unit of capacitance.
- D. None of the above: Option C gives the correct unit.
Simple example
If 2 Wb of magnetic flux passes uniformly through a 2 m² surface perpendicular to the field:
Remember: Weber measures magnetic flux; tesla measures magnetic flux per square metre.
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