The length of a certain wire is doubled and at the same time its radius is incre

Question

The length of a certain wire is doubled and at the same time its radius is increased by a factor of 2. What is the change in the resistance of this wire?

a. it is reduced by a factor of 8

it increased by a factor of 8

it is reduced by a factor of 2

d. it increases by a factor of 4

The length of a certain wire is doubled and at the same time its radius is increased by a factor of 2. What is the change in the resistance of this wire?

Answer

a. it is reduced by a factor of 8

b.

it increased by a factor of 8

c.

it is reduced by a factor of 2

d. it increases by a factor of 4

Explanation / Answer

Resistance of a wire in R = L/A is resistivity of the material in -m L is length in meters A is cross-sectional area in m2 A = r2, r is radius of wire in m cut the length in half, the resistance is cut in half double the radius, and the area increases by 2 squared or a factor of 4 increase the area by a factor of 4 and the resistance goes down by a factor of 4 combine the two and the resistance is reduced by a factor of 8. .

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