Challenge Level

In the circuit shown below, find the current labelled $I_x$ when V = 14 V.

Extensions:

If mesh current analysis is used to to solve this problem, how many unknown currents are there in the circuit? How many simultaneous equations will you end up with?

If nodal voltage analysis is used to solve the problem, what is the minimum number of unknown voltages that would need to be added to the diagram?

Can you think of any ways in which the central branch of the circuit could be simplified without affecting the current $I_x$?

Could you solve this problem using Thevenin and Norton's theorems?