A circuit takes a current of \( 3 \mathrm{~A} \) at a power factor ...

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A circuit takes a current of \( 3 \mathrm{~A} \) at a power factor of \( 0.6 \) lagging when connected to a \( 115 \mathrm{~V}-50 \mathrm{~Hz} \) supply. Another circuit takes a current of \( 5 \mathrm{~A} \) at a power factor of \( 0.707 \) leading when connected to the same supply. If the two circuits are connected in series across a \( 230 \mathrm{~V}, 50 \mathrm{~Hz} \) supply, then
\( \mathrm{P} \) calculate

W
(a) the current
(b) the power consumed and
(c) the power factor
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