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9.6 kW heater?Of course it's a 240V range. What else would it be?
9.6 kW heater?Of course it's a 240V range. What else would it be?
I didn't realize there would be this much action in the thread either! But it has me fired up, I have taken this test (LLE) twice, and am not going to fail the third time, so I am going to resume my studies from the ground up. ThanksIn this forum?!
The question stated "the appliance has a bad splice on "one of the phase conductors" so yeah probably a 240 range.Of course it's a 240V range. What else would it be?
Here in lies my problem. I assumed several things.
Ok, this is a practice question I came across on a PSI exam. Does anyone know how they came up with this number?
I apologize for my ignorance but I'm here to learn something.
An appliance draws 40 amperes when used on a circuit. A bad splice is discovered on the line at the appliance on one of the phase conductors. The splice has a measured resistance of 0.5 ohms. How much power is lost at the splice?
Answer: 800 watts
The one thing not really clear is whether the appliance is rated for 40 amps or is currently drawing 40 amps with that non intended resistance in the circuit.Here in lies my problem. I assumed several things.
I thought 240 volt. Voltage is not mentioned.
I assumed phase was single, but that isn't mentioned either.
Type of appliance is irrelevant, as everything I needed to know was given.
That was my results but it didn't mesh with the answer.The one thing not really clear is whether the appliance is rated for 40 amps or is currently drawing 40 amps with that non intended resistance in the circuit.
If it were pure resistance load rated for 40 amps then you added another .5 ohms in series actual amps drawn drops to about 36.9.
Yes if there is multiple choice answers one can probably figure out what way they should go with it, as long as both possible answers are not in the selection list.That was my results but it didn't mesh with the answer.
In my opinion, that's real-world detail that is overthinking for a test question.The one thing not really clear is whether the appliance is rated for 40 amps or is currently drawing 40 amps with that non intended resistance in the circuit.
If it were pure resistance load rated for 40 amps then you added another .5 ohms in series actual amps drawn drops to about 36.9.
Longer you have been in real world the more you think real world scenarios thoughIn my opinion, that's real-world detail that is overthinking for a test question.
I have seen many times, that where a simple math mistake can lead to an incorrect answer, that incorrect answer will be give in the 4 choices.Assuming it was multiple choice, the set of answers should lead to the single correct answer unless someone is just being mean.
As other said, P = I^2 R. Both I and R were, given, and truly volts aren't needed. In that situation, line voltage doesn't matter (it really doesn't) since what you need to calculate P is Vdrop, not Vline. In this instance, what you get for V in V = I * R is Vdrop. In this case, 40 amps * 0.5 ohms yields Vdrop = 20 volts. Now do P = I * V and you get 40 amps * 20 volts of voltage drop is 800 watts -- the same as P = I^2 * R.
Remember that Ohm's Law, taken as a whole, just needs two of P, I, R and V to derive a third value. You just need to know which "third value" you're deriving. In this case, it's the voltage drop across the series resistance. You can then take those three values and derive the fourth if you've remembered only 3/4th of the giant pile of equations.
For example, for a purely resistive load, you now have Vline = 220 (assuming Vline was originally 240). If the load was 40A * 240V = 9.6kW ("assume a perfect conductor"), you now have 40A * 220V = 8.8kW. You can also calculate R for the load since R = V / I -- 240 / 40 = 6 ohms. Now go back and calculate P = I ^ 2 * R and you get 40 * 40 * 6 = 9.6kW.
Such fun. I should have gotten that BSEE instead of wasting my life doing other things.
Yes, that is a thing. With something like Ohm's Law that might involve swapping numerator and denominator in a equation. Unless it's a timed test where running out of time is part of the strategy for creating non-perfect scores, use that extra time to check your work. That's why I included the 2nd to last paragraph -- you can often check your work with some other equation you should also know by heart.I have seen many times, that where a simple math mistake can lead to an incorrect answer, that incorrect answer will be give in the 4 choices.
Or maybe math was correct but if you skip a certain step in a process will lead to an answer they put in the possible selections.I have seen many times, that where a simple math mistake can lead to an incorrect answer, that incorrect answer will be give in the 4 choices.
I=40 Squared R=0.50 40X40X0.50=800 LOL always check your stuff!The tricky part of calculations is understanding when to use the values listed outside the Formula Wheel and when to apply the specific rules and formulas regarding the type of circuit rules (i.e., series or parallel) to calculate the total values. Here’s a suggestion that might help.
View attachment 2560150
Step 1: Solve individual branch circuit components using the values in the outer Formula circle.
Step 2: Solve the total values using the specific type of circuit with those rules and formulas.
In this question, you’re dealing with an individual component and trying to discover Power (P) in watts. The test writer provided two values in the question. In the green-colored section, choose the formula based on the two values provided in the question.
Therefore, choose the formula P= I (squared) X R
- I= 40 amps
- R= 0.5 ohms
Next, substitute the known values.
Now substitute the known values and solve the problem.
- P= 0.50
- P= 800 watts
- P= 0.50
- P= 800 watts
The problem I have with that type of formula is that, on the rare occasions I need to use the formulae while working, it's too hard to remember, let alone use the ones with squares and square roots.Therefore, choose the formula P= I (squared) X R
- I= 40 amps
- R= 0.5 ohms