Question

What is the relationship between current density, conductor area and resistance?

(a) higher the current density, higher the conductor area, higher the resistance

(b) higher the current density, higher the conductor area, lower the resistance

(c) higher the current density, lower the conductor area, higher the resistance

(d) lower the current density, lower the conductor area, lower the resistance

I have been asked this question during an online exam.

This question is from Design of Rotor Bars and Slots topic in chapter Three Phase Induction Motor of Design of Electrical Machines

Answer 1

The correct answer is (c) higher the current density, lower the conductor area, higher the resistance

The best explanation: Higher the current density leads to lower conductor area, as current density is the ratio of current per area. As the conductor area decreases, resistance increases.