Expanding on Kevin's explanation
G-force said:
I'll bring this back to the top because I still dont understand how a CB can get around Joules Law and/or Ohm's law when we are talking about a circut breaker that functions by turning current into heat and thus tripping a bimetalic thermal CB. It has been said that voltage has noeffect on tripping a CB...I don't see how this is possable...unless the CB's can self compensate somehow? Where are the electrical engeneers when you need one...
edit: By the way, now that I look this is basically the same explanation that Kevin gave except with the tie-in to Watts.
It's always current that causes a temperature rise. Power is related to current but in a roundabout way through the resistance. It's also related to voltage. They're ALL related to each other, though, and to understand this you need to look at everything as a whole to really see what's going on. Here's the math:
V=IR
P=IV
Substitute for V: P=IIR = I squared * R.
Voltage goes away. Notice that an R shows up, though.
Let's say you take a circuit breaker and accurately measure it's resitance. For the sake of argument, let's say it's 1 ohm. Lets also say this breaker is rated at 5 amps. In this case, we could just as easily say this is a 25 watt breaker. P = I*I*R = 5*5*1 = 25W.
So let's see if this works. Let's say you have a simple series circuit with one breaker and a 1 ohm resistor in it. The total resistance of the circuit will be 2 ohms (1 for the resitor, 1 for the circuit breaker). Let's now put 10 Volts through it.
V = IR, so I = V/R = 10/2 = 5amps. The breaker will pop. Let's see if this works out with the math: P=IV = 5*5 = 25W. Wait! Were'd the 5volts come from?? Well, if you want to figure it out in watts, now you need to look at the voltage drop across the breaker. Since it's a 1 ohm resistance on the breaker, and I=5, V=IR=5*1 = 5 volts.
Now let's crank the voltage to 20 volts. Let's also change the resitor to be 3 ohms, though, so R for the whole circuit = 4 ohms. I = V/R = 20/4 = 5 amps. The breaker will pop. Now let's calculate this using watts and see if we come up with 25 watts:
Figure out the voltage drop across the breaker: V=IR=5*1 = 5V. P=IV = 5*5 = 25W. Yep...
So there's no magic going on. If you rated the breaker in Watts, though you would have to also give the internal resistance of the breaker so you could calculate how many amps will trip it. In our case, our breaker is a 25 watt, 1ohm breaker.
P=IIR = 25 = I*I*1
I= sqrt(25/1) = 5 amps.
You could also call it a 25 Watt, 5 volt breaker if you wanted to but then you'd be forever calculating voltage drops.
Same for resistors. If you have a 1ohm, 10 Watt resistor you could just as easily call it a 10 amp resistor. It's more convenient to have it in watts, though, because often you're interested in heat dissapation with a package, not just how much it will take to blow it up.
This was a VERY good question. I'd never thought of it like this before and it's not immediately obvious what's going on here. I hope someone will correct this if it's wrong.
edit: for extra credit, someone else can explain why op-amps rolloff @ 20db/decade. LOL...I spent a while on that one too.