What is resonant circuit ? Determine the conditions of resonance for series and parallel AC circuit and also deduce the expression for frequency in the state of resonance. Also explain the difference between them.
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[ rĕz′ə-nənt ] An electric circuit which has very low impedance at a certain frequency. Resonant circuits are often built using an inductor, such as a coil, connected in parallel to a capacitor
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For resonance the current produced in the circuit and emf applied must always be in the same phase. Phase difference (φ) in series LCR circuit is given by. tanφ=RXC−XL. For resonance, φ=0⟹XC−XL=0 or XC=XL. If ωr is resonant frequency, then XC=ωrC1.
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