A series LCR circuit with inductance 10 H , capacitance 10 μ F , resistance 50 Ω is connected to an AC…

A series LCR circuit with inductance 10 H, capacitance 10 μF, resistance 50 Ω is connected to an AC source of voltage, V=200sin100t volt. If the resonant frequency of the LCR circuit is ν0 and the frequency of the AC source is ν, then
  1. ν0=ν=50πHz
  2. ν0=50πHz, ν=50 Hz
  3. ν=100 Hz; ν0=100πHz
  4. ν0=ν=50 Hz

Solution

From the given equation V=200sin100t, the angular frequency of the source is

ω=100 rad s-1

ν=ω2π=1002π=50πHz

For resonance

ν0=12πLC=12π10×10×10-6

ν0=1002π=50πHz

Asked in: NEET 2022 (Phase 1)

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