How to Calculate and Solve for Cross-Sectional Area | Electric Resistivity
Last Updated on August 9, 2022
The cross-sectional area is illustrated by the image below.
To compute for cross-sectional area, three essential parameters are needed and these parameters are Resistivity (ρ), Length (l) and Resistance (R).
The formula for calculating cross-sectional area:
A = pl/R
Where:
A = Cross-sectional Area
ρ = resistivity
R = Resistance
l = Length
Let’s solve an example;
Find the cross-sectional area when the resistivity is 4, the resistance is 12 and length is 6.
This implies that;
ρ = resistivity = 4
R = Resistance = 12
l = Length = 6
A = pl/R
A = (4)(6)/12
A = (24)/12
A = 2
Therefore, the cross-sectional area is 2m².
Calculating the Length when the Cross-sectional Area, the Resistivity and the Resistance is Given.
l = RA/p
Where:
l = Length
ρ = resistivity
R = Resistance
A = Cross-sectional Area
Let’s solve an example;
Find the length when the resistivity is 12, the resistance is 6 and the cross-sectional area is 4.
This implies that;
ρ = resistivity = 12
R = Resistance = 6
A = Cross-sectional Area = 4
l = RA/p
l = (6)(4)/12
l = (24)/12
l = 2
Therefore, the length is 2m.
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the cross-sectional area.
To get the answer and workings of the cross-sectionalarea using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.
You can get this app via any of these means:
Web – https://www.nickzom.org/calculator-plus
To get access to the professional version via web, you need to register and subscribe to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator
Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Materials and Metallurgical under Engineering.
Now, Click on Electrical Properities under Materials and Metallurgical
Now, Click on Electrical Resistivity under Electrical Properities
Now, Click on Cross-sectional Area under Electrical Resistivity
The screenshot below displays the page or activity to enter your values, to get the answer for the cross-sectional area according to the respective parameter which is the Resistivity (ρ), Length (l) and Resistance (R).
Now, enter the values appropriately and accordingly for the parameters as required by the Resistivity (ρ) is 4, Length (l) is 6 and Resistance (R) is 12.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the cross-sectional area and presents the formula, workings and steps too.