When an external resistance of $5\ \Omega$ is connected across terminals of a cell, a current of $0.25$ A flows through it. When the $5\ \Omega$ resistor is replaced by a $2\ \Omega$ resistor, a current of $0.5$ A flows through it. The internal resistance of the cell is ______ $\Omega$.
Numerical value type. Enter your answer.
Answer: 1
Concept. $E=I(R+r)$ with the same $E$ and $r$ for both loads.
Step 1. Equate. $0.25(5+r)=0.5(2+r)\Rightarrow1.25+0.25r=1+0.5r$.
Answer. $r=1\ \Omega$.
Solution by Sreeraj P, M.Sc Physics


