Max Voltage for Three Series Resistors Connected to a Battery | HW Help

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The discussion revolves around calculating the maximum voltage for three series resistors connected to a battery without exceeding their power ratings. The user correctly determined the maximum voltage to be 28.6V but struggles with calculating the power delivered by the battery. Despite using various formulas, the user consistently arrives at 15.73W, which is incorrect according to the problem's requirements. The confusion is resolved when it is revealed that the issue lies in the use of significant figures. The user also seeks help for a similar problem with different resistor values.
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How do, everyone. I'm 99% done with my HW set for this week and am stuck on this problem.

Three resistors are connected in series across a battery. The value of each resistance and its maximum power rating are as follows: 5.0 Ohms and 19.5 W, 32.0 Ohms and 10.0 W, and 15.0 Ohms and 10.0 W.

(a) What is the greatest voltage that the battery can have without one of the resistors burning up?
I've correctly found this value to be 28.6V.


(b) How much power does the battery deliver to the circuit in (a)?

!

I can't figure it out. I've tried using multiple equations (variations of P=IV), using a current of 0.55A and V^2/R=P, using V=28.6V, R=52 Ohms (total for series). Also tried P=(I^2)*R. All three equations yield a power of 15.73W...as they should, considering they are all derived from one another :approve: . This, however, is not the correct answer.

So where is my thinking going wrong here?

Thanks in advance :rolleyes:
 
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Sorry. The answer was correct. Apparently the system has started utilizing sig figs. More than welcome to kill this post.

Thanks for looking if in fact you did!
 
how did you figure out the first part? i have close to the same problem but with different values, but i am kind of lost
 
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