Question

The dimensional formula of magnetic flux is:

• A. $\left(M{L}^2{T}^{-2}{A}^{-2}\right)$
• B. $\left(ML{T}^{-1}{A}^{-1}\right)$
• C. $\left(M{L}^2{T}^{-2}{A}^{-1}\right)$
• D. $\left(MLT{A}^{-3}\right)$

Answer 1

Answer: (C)

$F=Bvq,\varphi =BA$
$B=\frac{F}{vq}\Rightarrow \varphi =\frac{F\times A}{vq}$
$\Rightarrow \left(\frac{\left[ML{T}^{-2}\right]\left[L^2\right]}{[AT]\left[L{T}^{-1}\right]}\right)$
$\varphi =\left[M{L}^2{T}^{-2}{A}^{-1}\right]$