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what is resonance in series LCR circuit ? |
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Answer» Solution :Impedance for a series LCR circuit is given by the following relation: ` Z = sqrt( R^(2) + ( (1)/(OMEGA C ) - omega L )^(2) )` rms current in the circuit can be written as follows , ` i_(rms) = (e_(rms))/(sqrt( R^(2) + ( (1)/(omega C ) - omega L )^(2) ))` In the above equation , we can see that rms current depends on frequency of the AC source. if we can change the frequency fo supply voltage , then at a particular frequency current given by the above equation BECOMES maximum. To calculate this frequency, we can see that magnitude of impedance is at its minimum when `(1)/(omega C) = omega LrArr omega = (1)/(sqrt(LC)) `. this Frequency is called resonance frequency of the circuit . whenthis frequency is applied to the circuit , then impendance Z becomes minimum and equal to R and corresponding current ATTAINS maximum value . This phenomenon is called resonance. |
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