Given
The potential difference between two points is 26V
To find
How much current flows through the 3-Ω resistor?
Explanation
The equivalent resistence is
[tex]\begin{gathered} R=3+\frac{2\times4}{2+4} \\ \Rightarrow R=3+\frac{8}{6} \\ \Rightarrow R=\frac{26}{6}=4.33\Omega \end{gathered}[/tex]
Thus the current through the circuit is
[tex]\begin{gathered} V=RI \\ \Rightarrow26=4.33I \\ \Rightarrow I=6\text{ A} \end{gathered}[/tex]
Since the current across the series circuit is same,
Conclusion
The current through 3 ohm resistor is 6A
