You are given many resistances, capacitors and inductors. These are connected to a variable DC voltage source (the first two circuits) or an AC voltage source of 50 ~Hz frequency (the next three circuits) in different ways as shown in Column II. When a current I (steady state for DC or rms for A C ) flows through the circuit, the corresponding voltage V₁ and V₂ (indicated in circuits) are related as shown in Column I

Step-by-step solution

In circuit (P), I can't be non zero in steady state. In circuit (Q) : V₁=0 and V₂=2 I=V (also) aligned & In circuit (R): V₁=X_L I=(2 f ~L ) I & = (2 50 6 10⁻³ ) I & =1.88 I & V₂=2 I aligned In circuit (S): V₁=X_L I=1.88 I array r V₂=X_C I= ( 1 2 f C ) I = ( 1 2 50 3 10⁻⁶ ) I=(1061) I array In circuit (T): aligned & V₁=I R=(1000) I & V₂=X_C I=(1061) I aligned Therefore the correct options are as under (A) R, S, T (B) Q, R, S, T (C) Q or P, Q (D) Q, R, S, T