Question

The dimensional formula for the magnetic field is

• A. $\left[M{T}^{-2}{A}^{-1}\right]$
• B. $\left[M{L}^2{T}^{-1}{A}^{-2}\right]$
• C. $\left[M{T}^{-2}{A}^{-2}\right]$
• D. $\left[M{T}^{-1}{A}^{-2}\right]$

Answer 1

Answer: (A)

Magnetic field $=\frac{\text{Force}}{\text{Charge × velocity}}$
$=\frac{\left[ML{T}^{-2}\right]}{\left[AT\right]\left[L{T}^{-1}\right]}=\left[M{A}^{-1}{T}^{-2}\right]$