Question

A wire having an area of cross section = 10sqm and another wire having an area of cross section= 15sqm, have the same length and are made up of the same material. Which wire has more resistance?

(a) Both have equal resistance

(b) The 10sqm wire has higher resistance

(c) The 15sqm wire has higher resistance

(d) The value of resistance cannot be determined from the given data

I got this question by my school principal while I was bunking the class.

The origin of the question is Resistivity in portion Simple DC Networks of Basic Electrical Engineering

Answer 1

Correct option is (b) The 10sqm wire has higher resistance

To elaborate: Resistance is inversely proportional to the area of cross-section. As an area of cross-section increases, resistance decreases. Hence the 10sqm wire has a higher resistance than the 15sqm wire.