Question

The dimensional formula of electric flux is

• A. $\left[M^{1}L^{1}T^{-2}\right]$
• B. $\left[M^{1}L^{3}T^{-3}A^{-1}\right]$
• C. $\left[M^{2}L^{2}T^{-2}A^{-2}\right]$
• D. $\left[M^{1}L^{-3}T^{3}A^{1}\right]$

Answer 1

Answer: (B)

Electric flux, $\phi=\int\,\vec{E}\cdot\vec{s}$
The dimension of $\phi=$ Dimension of $E\times$ dimension of $s$
$\left[\phi\right]=\left[M^{1}L^{1}T^{-2}\right]\left[AT\right]^{-1}\left[L^{2}\right]=\left[M^{1}L^{3}T^{-3}A^{-1}\right]$