A composite load consists of three loads connected in parallel. One draws 100 W at a PF of 0.92 lagging, another takes 250 W at a PF of 0.8 lagging, and the third requires 150 W at a unity PF. The parallel load is supplied by a source Vs in series with a 10- resistor. The loads must all operate at 115 V rms. Determine

(a) the rms current through the source;
(b) the PF of the composite load.

a)

b)

Explanation:

Get the reactive powers for each of the loads:

Reactive power = Real Power * tanθ

For load 1

Active power, P₁ = 100 W

Power factor,

For load 2

Active power, P₂ = 250 W

Power factor,

For load 3

Active power, P₃ = 250 W

Power factor,

Calculate the total reactive power,

Calculate the total active power,

V = 115

b) Power factor of the composite load is

i had this question and the answer was 3.15 miles.

martina travels from school to her mom's office. from there, she walks to school. after school, she walks to the library and then to a friends house before finally ending back at home. find martina's total distance traveled.

a) 0 miles  

b) 0.4 miles  

c) 1 mile  

d) 3.15 miles