If , E and t represent the free space permittivity, electric field and time respectively, then the unit of E t will be :

Step-by-step solution

We need to find the unit of E t . From Maxwell's equations, the displacement current density is given by J_d = E t . The term E t has the same dimensions as displacement current density J_d . Current density J is defined as current per unit area, J = I A . The SI unit of current I is Ampere (A) and the SI unit of area A is m^2 . Therefore, the unit of current density is A/m^2 . Alternatively, using dimensions: [ ] = M⁻¹L⁻³T^4A^2 [E] = MLT⁻³A⁻¹ [t] = T Dimension of E t = (M⁻¹L⁻³T^4A^2)(MLT⁻³A⁻¹) T = L⁻²A . This corr