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Dimensional formula of magnetic flux is
1. MLT-3
2. M-2 IL-1 T-2
3. MI-1 LT-2
4. ML-2 T-3

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Correct Answer - Option 3 : MI-1 LT-2

The correct answer is option 3) i.e. MI-1 LT-2

CONCEPT:

  • Magnetic flux: Magnetic flux is the measure of the number of magnetic field lines passing through a given surface area.

The magnetic flux ϕ is given by:

ϕ = BAcosθ 

Where B is the magnetic field strength, A is the area vector, and θ is the angle made by the area vector with respect to the magnetic field line.

EXPLANATION:

We know, ϕ = BAcosθ 

For dimensional analysis, ϕ = BA

The dimensional formula of A (area) = L2       ----(1)

From lenz's law we know that F = q(v × B) ⇒ B = \(\frac{F}{qv}\)

Force, F = mass × acceleration ⇒ M1 L1T-2      ----(2)

Charge, q = Current × time ⇒ I1 T1      ----(3)

Velocity, v ⇒ L1 T-1      ----(4)

Substituting (1), (2), (3), and (4) in ϕ = BA

[ϕ] \(\frac{F}{qv}\)A = \(\frac{M^1 L^1T^{-2} }{(I^1T^1)(L^1T^{-1})} L^2 \) = MI-1 LT-2

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