Confused about the reactive power

Click For Summary
Reactive power (Q) is defined as Q = UI sin(a), while apparent power (S) is S = UI. To determine the percentage of heat loss in a power grid due to reactive power with a power factor of cos(a) = 0.85, the relationship Q/S = sin²(a) is used, derived from Q = I² R sin²(a) and S = I² R. The confusion arises in knowing when to use the voltage-current relationship versus the current-resistance relationship. The first equation is applicable in voltage-based scenarios, while the second is used when analyzing power losses in resistive components. Understanding these contexts clarifies the appropriate application of each formula.
Gavroy
Messages
232
Reaction score
0
hey,
i am a little bit confused about the reactive power.
we defined it as
Q=UI sin(a)
and the apparent power as
S=UI

Now I have to solve this excercise:
Which percentage of heat loss in a power grid is caused by the reactive power, when the powerfactor is cos(a)=0,85?

Now I thought:
Q/S=sin(a) would be the solution

but instead of this it is said that one has to set:
Q= I² R sin²(a)
S= I² R

and therefore Q/S=sin²(a)

now my question is: when can I use Q=U I sin(a) and when do I have to use Q= I² R sin²(a)...can somebody explain this to me?
 
Physics news on Phys.org


Put it in the homework section
 
I built a device designed to brake angular velocity which seems to work based on below, i used a flexible shaft that could bow up and down so i could visually see what was happening for the prototypes. If you spin two wheels in opposite directions each with a magnitude of angular momentum L on a rigid shaft (equal magnitude opposite directions), then rotate the shaft at 90 degrees to the momentum vectors at constant angular velocity omega, then the resulting torques oppose each other...

Similar threads

  • · Replies 9 ·
Replies
9
Views
2K
Replies
11
Views
2K
  • · Replies 7 ·
Replies
7
Views
1K
  • · Replies 9 ·
Replies
9
Views
6K
Replies
7
Views
6K
  • · Replies 76 ·
3
Replies
76
Views
12K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 4 ·
Replies
4
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 13 ·
Replies
13
Views
3K