In an ac circuit shown below in figure, the supply voltage has a constant rms value V but…

Physics · JEE Advanced · NTA ExamsElectromagnetic Induction and Alternating Currents

In an ac circuit shown below in figure, the supply voltage has a constant rms value V but variable frequency f. At resonance, the circuit
  1. has a current I given by : \(I=\frac{V}{R}\)
  2. has a resonance frequency 500 Hz
  3. has a voltage across the capacitor which is 180° out of phase with that across the inductor
  4. has a current given by \[I=\frac{V}{\sqrt{R^{2}+\left(\frac{1}{\pi}+\frac{1}{\pi}\right)^{2}}}\]

Answer

(A) has a current I given by : I= V R

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