NEET2023PhysicsAlternating CurrentActual
In a series   L C R circuit, the inductance   L is 10   mH , capacitance C is 1   μF and resistance R is 100   Ω . The frequency at which resonance occurs is:
Options
- A1 . 59   kHz
- B15 . 9   rad   s - 1
- C15 . 9   kHz
- D1 . 59   rad   s - 1
Correct answer
A. 1 . 59   kHz
Step-by-step solution
Resonance occurs when the value of inductive and capacitive reactances have equal magnitude but a phase difference of 180 ° . Therefore, resonance frequency = 1 2 π L C = 1 2 π 10 × 10 - 3 × 1 × 10 - 6 = 1 . 591 × 10 3 ≈ 1 . 59   kHz