Answer:
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.
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
[tex]R_{c}[/tex] is the resistivity of copper = 17 nano-Ohm-meters
[tex]R_{n}[/tex] 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;
[tex]\frac{R_{n} }{R_{c} } =\frac{1126 nano-Ohms-meter}{17 nano-Ohms-meter}[/tex]
= 66.24 nano-Ohms-meter
This means that nickel-chrome wire is 66.24 nano-Ohms-meters more resistive than copper wire.
