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A circuit takes a current of 3 A at a po...

A circuit takes a current of `3 A` at a power factor of 0.6 lagging when connected. to a `115 V- 50 Hz` supply. Another circuit takes a current of `5 A` at a power factor of `0.707` leading when connected to the same supply. If the two circuits are connected in series across a `230 V 50 Hz` supply, then calculate
(a) the current
(b) the power consumed and (c) the power factor

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