All Problems

Electric Current

Problem 3.198

A series-parallel combination battery consisting of a large number N=300N=300 of identical cells, each with an internal resistance r=0.3Ω,r=0.3 \Omega, is loaded with an external resistance R=10ΩR=10 \Omega. Find the number nn of parallel groups consisting of an equal number of cells connected in series, at which the external resistance generates the highest. thermal power.

Reveal Answer
n=Nr/R=3n=\sqrt{N r / R}=3