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

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SUMMARY

The discussion centers on calculating the maximum voltage for three series resistors connected to a battery, specifically identifying that the maximum voltage without burning out any resistor is 28.6V. The resistors have values of 5.0 Ohms (19.5 W), 32.0 Ohms (10.0 W), and 15.0 Ohms (10.0 W). The user initially struggles to calculate the power delivered by the battery at this voltage, attempting various equations including P=IV and P=(I^2)*R, but arrives at an incorrect power value of 15.73W. The confusion is resolved by recognizing the importance of significant figures in the calculations.

PREREQUISITES
  • Understanding of Ohm's Law and power calculations (P=IV, P=V^2/R, P=(I^2)*R)
  • Knowledge of series circuits and total resistance calculations
  • Familiarity with significant figures in scientific calculations
  • Basic electrical engineering concepts related to resistors and power ratings
NEXT STEPS
  • Study the implications of significant figures in electrical calculations
  • Learn about series and parallel resistor configurations and their effects on voltage and current
  • Explore advanced power calculation techniques in electrical circuits
  • Investigate the relationship between power ratings and resistor selection in circuit design
USEFUL FOR

Students in electrical engineering, hobbyists working with circuits, and anyone needing to understand resistor behavior in series configurations.

nutster
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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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