A given AC source, v = v0 sin ωt, is connected across a given series LCR circuit. The graph, showing simultaneously, the variation of the voltage and current in the circuit, with time, has the form shown. The current, flowing in this circuit, has to be made to have its maximum value (=v/R). This aim can be achieved if, without making any other change in the circuit, we join another inductor (L"), of value
(1) \((\frac{1-ω^2 LC}{ω^2C})\) in series with the given inductor (L)
(2) \((\frac{1-ω^2 LC}{ω^2C})\) in parallel with the given inductor (L)
(3) \((\frac{ω^2 LC}{ω^2C})\)in series with the given inductor (L)
(4) \((\frac{ω^2 C}{1-ω^2LC})\)in series with the given inductor (L)