The expression for lower half power frequency is?(a) (-R+√(x^2+4LC))/4πL(b) (–R-√(x^2+4LC))/4πL(c) (R-√(x^2+4LC))/4πL(d) (R+√(x^2+4LC))/4πLI had been asked this question in an international level competition.My doubt stems from Bandwidth of an RLC Circuit in chapter Resonance & Magnetically Coupled Circuit of Network Theory

The expression for lower half power frequency is?(a) (-R+√(x^2+4LC))

1.	The expression for lower half power frequency is?(a) (-R+√(x^2+4LC))/4πL(b) (–R-√(x^2+4LC))/4πL(c) (R-√(x^2+4LC))/4πL(d) (R+√(x^2+4LC))/4πLI had been asked this question in an international level competition.My doubt stems from Bandwidth of an RLC Circuit in chapter Resonance & Magnetically Coupled Circuit of Network Theory
Answer» CORRECT answer is (a) (-R+√(x^2+4LC))/4πL To explain: Selectivity indicates how WELL a RESONANT circuit responds to a certain frequency and eliminates all other frequencies. At lower power frequency, XC > XL(1/2πf1C)-2πf1L=R. f1 = (-R+√(x^2+4LC))/4πL.

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