A series LCR circuit is connected to a 45 sin(𝜔𝑡) Volt source. The resonant angular frequency of the circuit is 105 rad s −1 and current amplitude at resonance is 𝐼0. When the angular frequency of the source is 𝜔 = 8 × 104 rad s −1 , the current amplitude in the circuit is 0.05 𝐼0. If 𝐿 = 50 mH, match each entry in List-I with an appropriate value from List-II and choose the correct option. List-I List-II (P) 𝐼0 in mA (1) 44.4 (Q) The quality factor of the circuit (2) 18 (R) The bandwidth of the circuit in rad s −1 (3) 400 (S) The peak power dissipated at resonance in Watt (4) 2250 (5) 500 (A) 𝑃 → 2,𝑄 → 3, 𝑅 → 5, 𝑆 → 1 (B) 𝑃 → 3,𝑄 → 1, 𝑅 → 4, 𝑆 → 2 (C) 𝑃 → 4,𝑄 → 5, 𝑅 → 3, 𝑆 → 1 (D) 𝑃 → 4,𝑄 → 2, 𝑅 → 1, 𝑆 → 5
A series LCR circuit is connected to a 45 sin(𝜔𝑡) Volt source. The resonant angular frequency of the circuit is 105 rad s −1 and current amplitude at resonance is 𝐼0. When the angular frequency of the source is 𝜔 = 8 × 104 rad s −1 , the current amplitude in the circuit is 0.05 𝐼0. If 𝐿 = 50 mH, match each entry in List-I with an appropriate value from List-II and choose the correct option. List-I List-II (P) 𝐼0 in mA (1) 44.4 (Q) The quality factor of the circuit (2) 18 (R) The bandwidth of the circuit in rad s −1 (3) 400 (S) The peak power dissipated at resonance in Watt (4) 2250 (5) 500 (A) 𝑃 → 2,𝑄 → 3, 𝑅 → 5, 𝑆 → 1 (B) 𝑃 → 3,𝑄 → 1, 𝑅 → 4, 𝑆 → 2 (C) 𝑃 → 4,𝑄 → 5, 𝑅 → 3, 𝑆 → 1 (D) 𝑃 → 4,𝑄 → 2, 𝑅 → 1, 𝑆 → 5