Engineering

How to Calculate and Solve for Total Conductivity | Electrical Properties

Last Updated on August 12, 2022

The total conductivity is illustrated by the image below.

To compute for total conductivity, two essential parameters are needed and these parameters are Electronic Conductivity (σelectronic) and Ionic Conductivity (σionic).

The formula for calculating total conductivity:

Where:

σtotal = Total Conductivity
σelectronic = Electronic Conductivity
σionic = Ionic Conductivity

Let’s solve an example;
Find the total conductivity when the electronic conductivity is 32 and the ionic conductivity is 8.

This implies that;

σelectronic = Electronic Conductivity = 32
σionic = Ionic Conductivity = 8

σtotal = σelectronic + σionic
σtotal = 32 + 8
σtotal = 40

Therefore, the total conductivity is 40 S/m.

Calculating the Electronic Conductivity when the Total Conductivity and the Ionic Conductivity is Given.

σelectronic = σtotal – σionic

Where:

σelectronic = Electronic Conductivity
σtotal = Total Conductivity
σionic = Ionic Conductivity

Given an example;
Find the electronic conductivity when the total conductivity is 18 and the ionic conductivity is 9.

This implies that;

σtotal = Total Conductivity = 18
σionic = Ionic Conductivity = 9

σelectronic = σtotal – σionic
σelectronic = 18 – 9
σelectronic = 9

Therefore, the electronic conductivity is 9.

Calculating the Ionic Conductivity when the Total Conductivity and the Electronic Conductivity is Given.

σionic = σtotal – σelectronic

Where:

σionic = Ionic Conductivity
σtotal = Total Conductivity
σelectronic = Electronic Conductivity

Let’s solve an example;
Given that, the total conductivity is 8 and the electronic conductivity is 3. Find the ionic conductivity?

This implies that;

σtotal = Total Conductivity = 8
σelectronic = Electronic Conductivity = 3

σionic = σtotal – σelectronic
σionic = 8 – 3
σionic = 5

Therefore, the ionic conductivity is 5.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the total conductivity.

To get the answer and workings of the total conductivity 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 Total Conductivity under Electrical Properities

The screenshot below displays the page or activity to enter your values, to get the answer for the total conductivity according to the respective parameter which is the Electronic Conductivity (σelectronic) and Ionic Conductivity (σionic).

Now, enter the values appropriately and accordingly for the parameters as required by the Electronic Conductivity (σelectronicis 32 and Ionic Conductivity (σionic) is 8.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the total conductivity and presents the formula, workings and steps too.

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