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