An ideal transformer has a 150-turn primary and 750-turn secondary. The primary is connected to a 240-V, 50-Hz source. The secondary winding supplies a load of 4 A at a lagging power factor (pf ) of 0.8. Determine
(a) the a-ratio,
(b) the current in the primary,
(c) the power supplied to the load, and
(d) the flux in the core.