Match list-1 with list-2. L = 3 1 m H , C = 3 m F , R = 1Ω , Δ ϕ = Phase difference. Column I Column II (P) 2 π (1) ∣Δ ϕ ∣ between source voltage and source current in switch position-1. (Q) 6

Question

Match list-1 with list-2. L = 3 ​ 1 ​ m H , C = 3 ​ m F , R = 1Ω , Δ ϕ = Phase difference. Column I Column II (P) 2 π ​ (1) ∣Δ ϕ ∣ between source voltage and source current in switch position-1. (Q) 6 π ​ (2) ∣Δ ϕ ∣ between resistor voltage and inductor voltage in switch position-1. (R) 0 (3) ∣Δ ϕ ∣ between source voltage and source current in switch position-2. (S) 3 π ​ (4) ∣Δ ϕ ∣ between source voltage and capacitor voltage in switch position-2. (5) ∣Δ ϕ ∣ between source voltage and source current in switch position-3.

TestHub · Accepted Answer

X L ​ = ω L ⇒ 1000 × 3 ​ 1 ​ × 1 0 − 3 = 3 ​ 1 ​ Ω X C ​ = ω C 1 ​ ⇒ X C ​ = 1 0 3 × 3 ​ × 1 0 − 3 1 ​ = 3 ​ 1 ​ Ω In position-1 : X L ​ tan Δ ϕ = R X L ​ ​ = 3 ​ 1 ​ Δ ϕ = 6 π ​ In position-2: tan Δ ϕ = R X C ​ ​ = 3 ​ 1 ​ Δ ϕ = 6 π ​ Phase difference between V C ​ and V = 3 π ​ In position-3: Δ ϕ = 0 X C ​ ↓ X L ​ ​ ​ R ⇒⟶ R

Column I	Column II
(P) $\frac{π}{2}$	(1) $∣Δ ϕ ∣$ between source voltage and source current in switch position-1.
(Q) $\frac{π}{6}$	(2) $∣Δ ϕ ∣$ between resistor voltage and inductor voltage in switch position-1.
(R) $0$	(3) $∣Δ ϕ ∣$ between source voltage and source current in switch position-2.
(S) $\frac{π}{3}$	(4) $∣Δ ϕ ∣$ between source voltage and capacitor voltage in switch position-2.
	(5) $∣Δ ϕ ∣$ between source voltage and source current in switch position-3.

Physics - EMI/AC Question with Solution | TestHub

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