Question

The dimensional formula of magnetic induction is:

• A. $ [M{{T}^{-1}}{{A}^{-1}}] $
• B. $ [M{{T}^{-2}}{{A}^{-1}}] $
• C. $ [ML{{A}^{-2}}] $
• D. $ [M{{T}^{-2}}A] $

Answer 1

Answer: (B)

Magnetic force on a charged straight conductor is given by $ F=Bill $ $ \Rightarrow $ B = magnetic induction $ =\frac{F}{il} $ $ \therefore $ $ [B]=\frac{[F]}{[il]}=\frac{[ML{{T}^{-2}}]}{[A][L]} $ $ =[M{{T}^{-2}}{{A}^{-1}}] $