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

AI Thread Summary
To maximize the terminal voltage of a battery with emf V and internal resistance r, the optimal external resistance R must be determined. The discussion presents three options for R: R = r, R = 4r, and R = r/4. The equation V = IR is referenced, along with the equivalent resistance Req = r + R. The goal is to find the value of R that results in a terminal voltage of V/2. Further clarification is needed, as an image intended to support the explanation did not upload successfully.
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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