What resistance maximizes battery terminal voltage?

[Alice7979]

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

?
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''

 

[berkeman]

will cause the terminal voltage of the battery to be

?

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[Alice7979]

It was supposed to be V/2