Problem

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 calculate (a) the current (b) the power consumed (c) the power factor