If ε₀, E and t represent the free space permittivity, electric field and time respectively, then the unit of
ε₀E/t
will be :

Question

If ε₀, E and t represent the free space permittivity, electric field and time respectively, then the unit of ε₀E/t will be :

G1 Physics · Accepted Answer

Electric field has SI unit E = N/C. Free-space permittivity has SI unit ε₀ = C²/(N·m²). Therefore, ε₀E = [C²/(N·m²)](N/C) = C/m². Now divide by time: ε₀E/t = C/(m²·s). Since 1 A = 1 C/s, we obtain ε₀E/t = A/m². Correct option: C.