Engineering
Physics
Dimensions
Magnetic Field
SI Units
Question
Write the dimensional formula and unit of magnetic field.
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Solution
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Given that
Dimensional and unit of magnetic field
∵  Force (F) =  charge × magnetic Fill d (B)×
velocity (v)

∴ magnetic  Field (B)=fxq×v   ----------------(1) ∵ velocity= Distance  Time =LT-1 

∴ Charge = current × time =[IT]

∴ Force = mass × acceleration = [M]LT–2

∴   magnetic field = Force  Charge + velocity  

=[m]LT-2[IT]LT-1=M1L0T2I-1 

∴  magnetic field is represented as:-

m1T–2I–1.

(where, m = mass, T = Time, I = Ampere]
In the SI System:
→ B is measured in Teslas → T
→ In Gaussion-cgs units, B is measured.

in gauss (symbolic)