Theo đề bài ta có:
\(I=\dfrac{U}{R}=\dfrac{U}{R+R'}+1\)
\(\Rightarrow\dfrac{120}{R}=\dfrac{120}{R+10}+1\)
\(\Rightarrow\dfrac{120}{R}=\dfrac{130+R}{R+10}\)
\(\Rightarrow120R+1200=130R+R^2\)
\(\Rightarrow R^2+10R-1200=0\)
\(\Rightarrow\left(R-30\right)\left(R+40\right)=0\Rightarrow R=30\left(\Omega\right)\)