Question

The dimensional formula for the magnetic field is

• A. $ \left[MT^{-2}\,A^{-1}\right] $
• B. $ \left[ML^{2}T^{-1}\,A^{-2}\right] $
• C. $ \left[MT^{-2}\,A^{-2}\right] $
• D. $ \left[MT^{-1}\,A^{-2}\right] $

Answer 1

Answer: (A)

Magnetic field $=\frac{\text{Force}}{\text{Charge $\times$ velocity}}$
$=\frac{\left[MLT^{-2}\right]}{\left[AT\right] \left[LT^{-1}\right]}=\left[MA^{-1} T^{-2}\right]$