Question

The resistivity of pure copper is 17 nano-Ohm-meters. How many times more resistive than copper is the nickel-chrome wire used in this experiment? (In other words, calculate the ratio of these resistivity values)

Answer 1

This is the complete question

The resistivity of pure copper is 17 nano-Ohm-meters. How many times more resistive than copper is the nickel-chrome wire used in this experiment? (In other words, calculate the ratio of these resistivity values, resistivity of nickel-chrome = 1126 nano-Ohm-meters)

nickel chrome wire is 66.24 nano-Ohms-meters more resistive than copper wire.

Step-by-step explanation:

When you compare the resistivity of two substances, you can determine the one that conducts electricity more. Resistivity is related to the resistance of a substance with the expression below;

R =ρl/A

where R is the resistance

ρ is the resistivity

l is the length of material

A is the area

Given that

`R_(c)` is the resistivity of copper = 17 nano-Ohm-meters

`R_(n)` is the resistivity of nickel-chrome = 1126 nano-Ohm-meters

Calculating for the ratio

The ratio compares two quantities, and we are comparing the resistivities of Nickel-chrome to copper. Nickel-chrome is more resistive to copper, comparing their resistivities we have;

`(R_(n) )/(R_(c) ) =(1126 nano-Ohms-meter)/(17 nano-Ohms-meter)`

= 66.24 nano-Ohms-meter

This means that nickel-chrome wire is 66.24 nano-Ohms-meters more resistive than copper wire.