# Phasor Diagram

1. Feb 19, 2007

### suspenc3

1. The problem statement, all variables and given/known data

Three series elements have a.c. voltages across them of $$25cos(2 \pi 60t + 30') , 15cos(2 \pi 60t + 60') , 30cos(2 \pi 60t -45')$$ Volts respectively. The current flowing is $$5.2cos(2 \pi 60t + 25')A$$

Using phasor diagram find

a)total voltage
b)phase angle between total voltage and current
c)overall power factor
d)total power and power dissipated by each element

3. The attempt at a solution

I found part a to be $$50.5cos(2 \pi 60t + 4.9')$$

and part be, the angle is 20.1 degrees with the current lagging behind.

I found the PF to be 0.94, what about d)power diss....i found the total power to be 123W

Last edited: Feb 19, 2007