A coil of inductive reactance 1 / 3 Ω and resistance 1 Ω is connected to a 200 V, 50 Hz AC supply. The time lag between maximum voltage and current is

Question

A coil of inductive reactance 1 / 3 Ω and resistance 1 Ω is connected to a 200 V, 50 Hz AC supply. The time lag between maximum voltage and current is, 1 200 s, 1 300 s, 1 500 s, 1 600 s

MARKS App · Accepted Answer

Given, Inductive reactance of coil X L = 1 3 Ω Resistance R = 1 Ω We know that, tan ⁡ ϕ = ω L R tan ⁡ ϕ = X L R tan ⁡ ϕ = 1 / 3 1 ϕ = tan - 1 ⁡ 1 3 ϕ = 30 o ∴ ω t = π 6 t = π 6 ω t = π 6 × 2 π f t = 1 12 f Here, f = 50 H z t = 1 12 × 50 = 1 600 s

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