In the resistor network shown in Fig. all resistor values are $$1\,\,\Omega .$$ $$A$$ current of $$1A$$ passes from terminal $$a$$ to terminal $$b,$$ as shown in the figure. Calculate the voltage between terminals $$a$$ and $$b.$$ [Hint: You may exploit the symmetry of the circuit].

Solve the circuit shown in Fig. using the mesh method of analysis and determine the mesh currents $${{\rm I}_1},\,{{\rm I}_2},$$ and $${{\rm I}_3}$$. Evaluate the power developed in the $$10$$ $$V$$ voltage source.