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BITSAT2023PhysicsAlternating CurrentActual

In the given circuit, rms value of current (Irms) through the resistor R is :

Options

  1. A2 ~A
  2. B1 2 ~A
  3. C20 ~A
  4. D2 2 ~A

Correct answer

A. 2 ~A

Step-by-step solution

(a) Given, Capacitive reactance, X _ C =100 Inductive reactance, X _ L =200 Resistance, R=100 Impedance, Z = R ^2+ ( X _ L - X _ C )^2 Z= 100^2+(200-100)^2 =100 2 RMS value of current, i_ rms = V_ rms Z = 200 2 100 2 =2 ~A

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