1.

An inductor, a capacitor and a resistor are in series with an alternator of frequency 50Hz. The potential difference across them are 50 V, 80 V and 40 V respectively. Find the voltage of the alternator?

Answer»

Solution :The POTENTIAL difference across the inductor and the capacitor have a PHASE difference of `pi`. The resultant potential difference across the combination of inductor and capacitor is `80-50=30V`. This 30V potential difference and the potential difference across the resistor, namely 40V have phase difference of `pi//2`. By vectroially adding these, the total potential difference, which is same as the VOLTAGE of the alternator is obtained.
`V^(2)=30^(2)+40^(2)rArr V=50V`


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