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 $=\frac{F}{il}$ $\therefore$ $[B]=\frac{[F]}{[il]}=\frac{[ML{T}^{-2}]}{[A][L]}$ $=[M{T}^{-2}{A}^{-1}]$