Question

The dimensional formula of magnetic flux is:

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

Answer 1

Answer: (C)

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