a.  Show that voltage and current in pure resistive circuit is in phase with each other. Also derive the equation for power consumed. 

b.  A coil of resistance 10 Ohm and inductance of 0.1 Henry is connected in series with condenser of capacitance of 150 micro Farad across 200 V, 50 Hz, AC supply. Find current, power, power factor, voltage drop across coil, voltage drop across condenser and draw the phasor diagram  

c. Define power factor. Draw the vector diagram showing the power factor angle for different loading conditions