Question

The ratio of diameters of
two copper wires of the same
length is 1:2. What is the ratio
of their resistances?​

Answer 1

Answer:

Explanation:

HI ! Here you go

Use the following formula:

resistance = resistivity × length / area

The resistivity of copper is the same, length is the same. What is differing is only the diameter.

Since the ratio of the diameter of the 2 copper wires is 1:2 => ratio of radius also is 1:2

Ratio of areas is 1:4

=> ratio of resistance = 4:1

so if the wire is thin, it has more resistance.