Which of the following physical quantities have the same dimensions?

Which of the following physical quantities have the same dimensions?
  1. Electric displacement D→ and surface charge density
  2. Displacement current and electric field
  3. Current density and surface charge density
  4. Electric potential and energy

Solution

Electric displacement

D→=ϵ0E→

D=ϵ0E=ϵ0σϵ0

D=σ

And surface charge density =σ.

Thus, electric displacement D and surface charge density have same dimension.

Asked in: JEE Main 2022 (25 Jul Shift 1)

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