Ohm's law
Ohm’s law is a prominent concept in physics and electronics. It gives the relation between the current and the voltage. It is used to analyze and construct electrical circuits. Ohm's law states that the voltage across a conductor is directly proportional to the current flowing through it.
Path of Least Resistance
In a series of alternate pathways, the direction of least resistance is the actual or metaphorical route that offers the least resistance to forwarding motion by a given individual or body.
Three cylindrical wires are made of the same material. Their lengths and radii are
wire 1: length ℓ, radius 2r
wire 2: length 2ℓ, radius r
wire 3: length 3ℓ/2, radius r/2
With the currents you calculated, rank them according to the current density through the cross section of the wires, greatest first.
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