Consider two copper wires with the same cross-sectional area. wire a is twice as long as wire b. how do the resistivities and resistances of the two wires compare? check all that apply. check all that apply. wire a and wire b have the same resistance. wire a has twice the resistance of wire b. wire a and wire b have the same resistivity. wire b has twice the resistivity of wire a. wire b has twice the resistance of wire a. wire a has twice the resistivity of wire b. submitprevious answersrequest answer incorrect; try again; 4 attempts remaining your answer indicates that you need to review resistivity and resistance. provide feedback next incorrect. incorrect; try again; 4 attempts remaining. feedback. your answer indicates that you need to review resistivity and resistance. end of feedback. g

Wire A has twice the resistance of wire B.

Wire A and wire B have the same resistivity.

Explanation:

- Resistivity is a property of a material, that tells how much is the material able to oppose to the flow of current through it. The value of the resistivity of a wire depends on the material only: this means that two wires made of the same material have same resistivity. Since both wire A and B here are made of copper, they have the same resistivity.

- Resistance of a wire instead is given by

where

is the resistivity of the material

L is the length of the wire

A is the cross-sectional area of the wire

Here, the two wires have same resistivity and same cross-sectional area, while wire A is twice as long as wire B (so, L for A is twice the value of L for B): therefore, the resistance of wire A will be twice that of wire B.

no

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