Which two wire properties would provide the greatest resistance to the flow of a current?

a. short, thin
b. long, thin
c. hot, thick
d. cool, thick

B. long, thin

Explanation:

The electrical resistance of a wire is a quantitative measurement of how much the wire resists to the flow of electrical current through it. The resistance against the motion of the current is basically due to the molecules inside the wire: the more these molecules collide with the electrons that carry the current, the less the current can pass through, the larger the resistance.

Given this, we can understand that the correct choice is B. long, thin. In fact:

- the longer the wire, the more molecules of the wire will collide against the electrons that carry the current, reducing the current and increasing the resistance

- the thinner the wire, the less electrons that carry the current can pass through it, reducing the current and so increasing the resistance

Mathematically, this is also evident in the formula that gives the resistance of a wire as a function of its length (L), cross-sectional area (A) and resistivity ():

from the formula, we see that 1) the longer the wire, the larger the resistance, and 2) the thinner the wire, the smaller the cross-sectional area A, the larger the resistance.

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