A series LCR circuit with inductance 10 H , capacitance 10 μ F , resistance 50 Ω is connected to an AC source of voltage, V = 200 sin 100 t volt. If the resonant frequency of the LCR circuit is ν 0 and the frequency of the AC source is ν , then

Question

A series LCR circuit with inductance 10 H , capacitance 10 μ F , resistance 50 Ω is connected to an AC source of voltage, V = 200 sin 100 t volt. If the resonant frequency of the LCR circuit is ν 0 and the frequency of the AC source is ν , then, ν 0 = ν = 50 π Hz, ν 0 = 50 π Hz , ν = 50 Hz, ν = 100 Hz ; ν 0 = 100 π Hz, ν 0 = ν = 50 Hz

MARKS App · Accepted Answer

From the given equation V = 200 sin 100 t , the angular frequency of the source is ω = 100 rad s - 1 ⇒ ν = ω 2 π = 100 2 π = 50 π Hz For resonance ν 0 = 1 2 π L C = 1 2 π 10 × 10 × 10 - 6 ⇒ ν 0 = 100 2 π = 50 π Hz

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