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

Step-by-step solution

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