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

Question

Electric displacement is given by D=ϵ E , here, ϵ = electric permittivity, E= electric field strength The dimensions of electric displacement are (A) [.ML- 2TA]. (B) [.L- 2T- 1A]. (C) [.L- 2TA]. (D) None of these

Tardigrade Admin · Accepted Answer

Electric displacement, D=ϵ E Unit of D=(C2/N m2)(N/C) ∴ [D]=((C/m2))=([. A T ]./[. L2 ].)=[.L- 2TA].

Q. Electric displacement is given by $D = ϵ E$ , here, $ϵ =$ electric permittivity, $E =$ electric field strength
The dimensions of electric displacement are

$[M L^{- 2} T A]$

$[L^{- 2} T^{- 1} A]$

$[L^{- 2} T A]$

None of these

Electric displacement, $D = ϵ E$
Unit of $D = \frac{C ^{2}}{N m ^{2}} \frac{N}{C}$
$∴ [D] = (\frac{C}{m ^{2}}) = \frac{[ A T ]}{[ L ^{2} ]} = [L^{- 2} T A]$

Q. Electric displacement is given by D=ϵE , here, ϵ= electric permittivity, E= electric field strength The dimensions of electric displacement are

[ML−2TA]

[L−2T−1A]

[L−2TA]