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JEE Advanced2025PhysicsAlternating CurrentActual

A circuit with an electrical load having impedance Z is connected with an AC source as shown in the diagram. The source voltage varies in time as V(t)=300 (400 t) V , where t is time in s. List-I shows various options for the load. The possible currents i(t) in the circuit as a function of time are given in List-II. Choose the option that describes the correct match between the entries in List-I to those in List-II.

Options

  1. AP 3, Q 5, R 2, ~S 1
  2. BP 1, Q 5, R 2, ~S 3
  3. CP 3, Q 4, R 2, ~S 1
  4. DP 1, Q 4, R 2, ~S 5

Correct answer

A. P 3, Q 5, R 2, ~S 1

Step-by-step solution

For P i= V R =10 400 t (3) For Q aligned & X_L= L=400 100 10⁻³=40 & Z=50 & . i= 300 50 (400 t-53^ ) [current will lag by ⁻¹ X_L R ] (5) aligned For R aligned & X _ C = 10^6 400 50 =50 and X _ L =400 25 10⁻³=10 & Z =50 & i = 300 50 (400 t +53^ ) [ Current will lead by ⁻¹ X _ C - X _ L R ] (2) aligned For S i = 300 60 (400 t ) X _ L = X _ C Resonance (1)

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