The equation of an alternating voltage is V=220sin[ωt+π/6] and . . .

Question : The equation of an alternating voltage is V=220sin[ωt+π/6] and the equation for current is I=10sin[ωt+π/6]. Find the impedance (in ohm) of the circuit.

Doubt by Mohini

Solution : 

V=220sin[ωt+π/6]

I=10sin[ωt+π/6]

On comparing the above equations with standard equations of alternating voltage and current, we will get

V₀ = 220 V

I₀ = 10 A

Impedance (Z) = V₀/I₀

Z = 220/10
Z = 22 Ω