Technician a says in a parallel circuit, the more branches that are added, the more current flow increases. technician b says a series-parallel circuit is made of parallel branches only. who is correct?

The more branches a parallel circuit has the more current flow in the circuit therefore ; Technician A is correct while Technician B is wrong

In a parallel circuit the increase in branches will lead a corresponding increase in the amount of current flow through the circuit because the Total amount of current flowing through a parallel circuit is a summation of the individual currents flowing through the branches

i.e.  

But A series-parallel circuit is made up of both parallel and series branches as the name implies therefore Technician B is wrong

Hence we can conclude that the more branches a parallel circuit has the more current flow in the circuit hence Technician A is correct.

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Technician-A is correct.  His statement: "In a parallel circuit, the more branches that are added, the more current flow increases." is technically true.

Technician-B is incorrect.  His statement: "A series-parallel circuit is made of parallel branches only." is technically false.