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An ac source of angular frequency omega ...

An ac source of angular frequency `omega` is fed across a resistor r and a capacitor C in series. The current registered is I . If now the frequency of the source is changed to `omega/3` ( but maintaining the same voltage ) , then current in the circuit is found to be halved . Calculate the ratio of reactance to resistance at the original frequency `omega`.

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`sqrt(3)/(5)`
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