Analog and electronic circuits
Which expression gives the resonant frequency of a series LC circuit?
- A2π√(LC)
- B1 / (2π√(LC))
- C√(L / C)
Show answer and explanation
Answer: B. 1 / (2π√(LC))
An LC circuit resonates at the frequency where the inductor's reactance 2πfL equals the capacitor's reactance 1/(2πfC). Solving gives f = 1 / (2π√(LC)). It is used in the design of oscillators, tuned circuits and filters.