Find using single node-pair analysis (do not reduce the circuit).

and .

**Solution**

a) Redraw the circuit if necessary. Mark the voltage across nodes:

b) Apply KCL in one of nodes:.

Please note that:

i) Voltage across each element is with the shown polarity.

ii) We do not use , because it is unknown. We try to find any current in term of the main quantity, i.e. , which is unknown. Recall that main quantities are

- node voltages in nodal analysis,
- node voltage in single-node-pair analysis,
- loop current in single loop analysis, and
- mesh currents in mesh analysis.

iii) Since we are not using , we do not care about its direction.

Eq. (1) gives .

c) Determine required quantity, using main quantity, i.e. :