Concepts Of Physics MCQ Edition [Volume 2]PhysicsElectromagnetic Waves
The dimensions of the displacement current ₀ d _E dt are identical to those of:
Options
- Aan electric current
- Ban electric charge
- Can electric potential
- Dan electric flux
Correct answer
A. an electric current
Step-by-step solution
The displacement current is given by the expression I_d = ₀ d _E dt . By definition, displacement current is a type of current, so its dimensions must be identical to those of an electric current. We can also verify this dimensionally: Electric flux _E = E A = F q A Permittivity of free space ₀ = q^2 4 F r^2 Dimensions of ₀ _E = [ q^2 F L^2 ] [ F L^2 q ] = [q] Dimensions of ₀ d _E dt = [ q t ] = [A] Thus, the dimensions are identical to those of an electric current.