[tex]I_1=\frac{U_{AB}}{R_1+R_2}=\frac{24}{2+10}=2(A)[/tex]
[tex]\Rightarrow U_1=I_1R_1=2.2=4(V)[/tex]
[tex]I_3=\frac{U_{AB}}{R_3+R_4}=\frac{24}{6+R_4}[/tex]
[tex]\Rightarrow U_3=I_3R_3=\frac{144}{6+R_4}[/tex]
[tex]U_V=\left | U_1-U_3 \right |=\left | 4-\frac{144}{6+R_4} \right |=\left | \frac{4R_4-120}{6+R_4} \right |[/tex]
[tex]\Rightarrow \left | \frac{4R_4-120}{6+R_4} \right |=2[/tex]
Giải pt tìm được [tex]R_4=66\Omega[/tex] hoặc [tex]R_4=18\Omega[/tex]