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MHT CET202611 April 2026Morning ShiftPhysicsAlternating CurrentActual

In the circuit shown below, the ac source has voltage V = 30 ( t) volt with = 2000 rad/s. What will be the amplitude of the current?

Options

  1. A5 A
  2. B3 5 A
  3. C3 A
  4. D3.3 A

Correct answer

C. 3 A

Step-by-step solution

From the given circuit, the parameters are: Amplitude of voltage, V_m = 30 V Angular frequency, = 2000 rad/s Total resistance, R = 6 + 4 = 10 Inductance, L = 5 10⁻³ H Capacitance, C = 50 10⁻⁶ F The inductive reactance is: X_L = L = 2000 5 10⁻³ = 10 The capacitive reactance is: X_C = 1 C = 1 2000 50 10⁻⁶ = 10 The total impedance of the circuit is: Z = R^2 + (X_L - X_C)^2 Substituting the values: Z = 10^2 + (10 - 10)^2 = 10 The amplitude of the current is: I_m = V_m Z = 30 10 = 3 A Answer: 3 A

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