A network of resistors is connected across a \(10~\text{V}\) battery with an internal resistance of \(1~\Omega\) as shown in the circuit diagram. The equivalent resistance of the circuit is:
         
1.  \(\frac{17}{3}~\Omega\)
2.  \(\frac{14}{3}~\Omega\)
3.  \(\frac{12}{7}~\Omega\)
4.  \(\frac{14}{7}~\Omega\)

The effective resistance of a parallel connection that consists of four wires of equal length, equal area of cross-section, and same material is \(0.25~\Omega\). What will be the effective resistance if they are connected in series?
1. \(1~\Omega\) 
2. \(4~\Omega\)
3. \(0.25~\Omega\)
4. \(0.5~\Omega\)

The equivalent resistance between \(A\) and \(B\) for the mesh shown in the figure is: