The resistance of a metal conductor increases with: a) a decrease in the specific resistance

| February 9, 2021 | education

The resistance of a metal conductor increases with: a) a decrease in the specific resistance b) an increase in the specific resistance c) a decrease in the length of the conductor d) an increase in the cross-sectional area

Let’s write an expression to determine the resistivity of the wire:
ρsp = R * Ssech / l, where R is the resistance of the wire, l is the length of the wire, Ssec is the cross-sectional area.
Let us express R from here:
R = ρsp * l / Ssection
As you can see from the formula, by increasing the resistivity and length, we will increase the resistance, and with increasing cross-section, we will reduce the resistance of the conductor.
Of the proposed options, only option b) is valid, with an increase in resistivity, the resistance of the conductor will increase.
Answer: option b).



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