Question

The three loads in the circuit in the figure can be described as follows: Load 1 is a 230 Ω resistor in series with an inductive reactance of 90 Ω ; load 2 is a capacitive reactance of 140 Ω in series with a 140 Ω resistor; and load 3 is a 50 Ω resistor in series with a capacitive reactance of 40 Ω . The frequency of the voltage source is 60 Hz.

+ Load 3 Load 1 Load 2

Part G: Give the power factor of the composite load seen by the voltage source.

Part H: Give the reactive factor of the composite load seen by the voltage source.

Answer 1

Vs 030n Iyon 50M - 60H2 3903n TiveT F140nT10j 10ad/ load 3 loadi if tuo impedonces 2,,2 are iM Serfes 21 t 2 Parallef i1 21 2122 ey 21t22 Z10adond load 3 (2.30+90j) load load 2(y0-14 oj)a (50-1o1) load 3 11

10ad 10ads (230+90j) (140-140s) 230+90j t10-1yoj 15.131-35.15j )^ Cload load 2 (125.939-35.15j ) ( 50- 10j). 12s.939-35.9sjt so-4oj (3.y15-22.697 j) ^ 43.76 31-24 A 4-31.2 leading G) Power factor Pf cos = 0.5186 is megatve, lexdrny Cosd is

) reactive tactor Rf- smp sin (-31-21) - o.5186 0-5a