Power from a Cell


E=5 V  r=0.2 Ω 
External
Resistance
(in ohm)
Potential
Difference
(in volt)
Current
(in A)
Power
(in W)
Quiz Potential difference across the external resistance

This increases (green curve) as the external resistance increases. (If you see the sum of the potential differences of R and r as E and that the individual potential differences should be in the ratio R:r, it would be obvious that V across R should increase as R increases) Current through it is

This decreases (yellow curve) with increase in external resistance. Power dissipated across the external resistance

and this increases (cyan curve) as R increases reaching a maximum value when R= r and then decreases.The maximum value of power is

A plot of i, V and P as R is varied are shown in the graph and the values of these quantities are indicated in the tabular form. You should be able to relate to these relations easily.