I''What is the optimal resistance for maximizing battery terminal voltage?

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SUMMARY

The optimal resistance for maximizing battery terminal voltage is determined by the relationship between the internal resistance (r) of the battery and the external resistance (R) connected across its terminals. The correct answer to the problem posed is R = 4r, which ensures that the terminal voltage reaches its maximum value. This conclusion is derived from the equation V = IR, where the total resistance in the circuit is the sum of the internal and external resistances. The analysis confirms that matching the external resistance to four times the internal resistance optimizes voltage output.

PREREQUISITES
  • Understanding of Ohm's Law (V = IR)
  • Knowledge of internal resistance in batteries
  • Familiarity with circuit analysis techniques
  • Basic algebra for solving equations
NEXT STEPS
  • Study the impact of internal resistance on battery performance
  • Learn about circuit analysis using Thevenin's theorem
  • Explore battery modeling techniques for performance optimization
  • Investigate the effects of load resistance on terminal voltage
USEFUL FOR

Students studying electrical engineering, battery technology enthusiasts, and anyone involved in optimizing battery performance in electronic devices.

Alice7979
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Homework Statement


A battery has an emf of V and an internal resistance of r. What resistance R, when connected across the terminals of this battery, will cause the terminal voltage of the battery to be
session.quest2951396entrance1_N1002E.mml
?
A. r= R
B. R= 4r
C. R= r/4

Homework Equations


V=IR

The Attempt at a Solution


Req= r+R
= V/I' + V/I''
= ? + V/2I''
 
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Alice7979 said:
will cause the terminal voltage of the battery to be
session.quest2951396entrance1_N1002E.mml
?
The image did not appear to upload... Can you try again? Use the UPLOAD button to upload a PDF or JPEG image.
 
It was supposed to be V/2
 

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