# Difference in Brightness between Two Bulbs

1. Mar 31, 2016

### crastinus

1. The problem statement, all variables and given/known data
Two lightbulbs of resistance R1 and R2 (R2 > R1) are connected in series. Which is brighter? What if they are connected in parallel? Explain.

2. Relevant equations
P=V^2/R
P=I^2R

3. The attempt at a solution
I know the solution.

In series, P1=I^2R1 < P2=I^2R2, so R2 is brighter.

In parallel, P1=V^2/R1 > P2=V^2/R2; since R2 > R1, R1 is brighter here.

But my question is this: How can I know which equation to use for series and which for parallel? (The text says nothing.)

Why couldn't I have argued in the following way?

In paralle, P1=I^2R1 < P2=I^2R2, so, even in parallel, R2 is brighter. Why does this line of reasoning fail?

I is different in each case because they are connected in parallel. So, we can't use P=I^2R for this part; we have to find an equation for which another variable is the same. Best bet is P=V^2/R. Even if that's right, I still don't think I really have grasped the relevant issues here.

Thanks.

2. Mar 31, 2016

### Buzz Bloom

Hi crastinus:

In series what is the same for both R1 and R2?
In parallel what is the same for both R1 and R2?

Hope this helps.

Regards,
Buzz

3. Mar 31, 2016

### crastinus

Thanks, Buzz! That helped!