In a series LCR circuit, half power frequencies (frequency at which power dissipated is half the maximum power dissipated in the circuit) are found to be 90 rad/s and 40 rad/s. Find the value of ω₀ , where ω₀ is the resonance frequency. 10
Physics · AC Circuits
JEE Mains

Question

In a series LCR circuit, half power frequencies (frequency at which power dissipated is half the maximum power dissipated in the circuit) are found to be 90 rad/s and 40 rad/s. Find the value of ω₀ , where ω₀ is the resonance frequency. 10

Physics · AC Circuits

G1 Physics · Accepted Answer

For a series RLC circuit, ω₀=1/√(LC), Q=ω0L/R and Δω=R/L=ω₀/Q. At half-power, P=Pₘₐₓ/2. Using the stated values gives 6.