In the adjacent circuit, the instantaneous current equation is

Question

In the adjacent circuit, the instantaneous current equation is, 2 sin ⁡ 100 t - π 4, 2 sin ⁡ 100 t - π 4, 2 sin ⁡ 200 t - π 4, 2 100 t + π 4

MARKS App · Accepted Answer

Let ϕ is the phase difference between V and i tan ⁡ ϕ = X L R = ω L R = 100 × 1 100 =1 ⇒ θ = π 4 Since this is an LR circuit V will lead i ∴ Instantaneous current equation will be i = i 0 sin ⁡ 100 t - ϕ where ϕ = π 4 and i 0 = V 0 Z i 0 = V 0 R 2 + ω L 2 = 200 100 2 + 100 × 1 2 = 2 ∴ i = 2 sin ⁡ 100 t - π 4

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