The circuit in (b) is equivalent to the circuit in (a). Circuit (b) is obtained from Circuit (a) by replacing series and parallel combinations of resistors by equivalent resistors.

Voltages  v ₁ , v ₂ and v ₃  are the node voltages at nodes 1,2 and 3 of the equivalent circuit. Determine the values of v ₁ , v ₂ and v ₃  in the equivalent circuit.

30 mA 27 ww 41 37 www 83 130 mA (1) (a) 63 www 82 www 83 www 30 mA 1 46,45 130 mA 83 2 (b) 63 41,25