120V, 60 Hz source is connected to a distribution line whose resistance, and inductive reactances are 0.1Ohm, j0.2 Ohm, respectively. Single phase, 2HP, 120V, 0.75 lagging pf. motor and 2.4Kw, 120V heater is connected in parallel. Find the value of the capacitor connected in parallel with the load to improve the power factor to unity.
Find
• current flowing in each load before connecting the capacitor and after connecting capacitor,
• Line losses before connecting the capacitor and after connecting capacitor,
• power factor of the source before connecting the capacitor and after connecting capacitor,
• Power consumed by the load before connecting capacitor and after,
• Total impedance of the circuit before connecting capacitor and after,
• The value of the capacitor to improve the power factor to unity. (connect the capacitor in parallel with the load to improve the power factor)