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NEET2026PhysicsChapterActual

An alternating voltage source is connected to a resistor, an inductor, and a capacitor to form a closed loop as shown in the figure. What is the amplitude of the current flowing through the circuit?

Options

  1. A20 A
  2. B10 2 A
  3. C13 A
  4. D26 A

Correct answer

A. 20 A

Step-by-step solution

From the given voltage equation V = 260 (100t) V , the peak voltage is V_m = 260 V and the angular frequency is = 100 rad/s . The inductive reactance is: X_L = L = 100 0.25 = 25 The capacitive reactance is: X_C = 1 C = 1 100 500 10⁻⁶ = 20 The impedance of the series RLC circuit is: Z = R^2 + (X_L - X_C)^2 Z = 12^2 + (25 - 20)^2 = 144 + 25 = 13 The amplitude of the current is: I_m = V_m Z = 260 13 = 20 A Answer: 20 A

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