Question

Electric displacement is given by $D=\epsilon E$ , here, $\epsilon =$ electric permittivity, $E=$ electric field strength
The dimensions of electric displacement are

• A. $\left[\right.ML^{- 2}TA\left]\right.$
• B. $\left[\right.L^{- 2}T^{- 1}A\left]\right.$
• C. $\left[\right.L^{- 2}TA\left]\right.$
• D. None of these

Answer 1

Answer: (C)

Electric displacement, $D=\epsilon E$
Unit of $D=\frac{C^{2}}{N m^{2}}\frac{N}{C}$
$\therefore \, \left[D\right]=\left(\frac{C}{m^{2}}\right)=\frac{\left[\right. A T \left]\right.}{\left[\right. L^{2} \left]\right.}=\left[\right.L^{- 2}TA\left]\right.$