1.

A series LCR circuit with R = 20 Omega , L =1 .5H and C= 35 muF is connected to a variable-frequency 200V ac supply. When the frequency of the supply equals the natural frequency of the circuit,what is the average power transferred to the circuit in one complete cycle ?

Answer»

Solution :Here resonance has taken PLACE `( :. omega = omega_(r )` ). HENCE average power transferred PER one cycle is maximum EQUAL to ,
`P = ( V_(rms)^(2))/( R )``( :.` At resonance , `| Z | = ` min = R )
`= ( ( 200)^(2))/( 20)`
`= 2000W`


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