## How to Calculate and Solve for Total Conductivity | Electrical Properties

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.

## How to Calculate and Solve for Total Conductivity | Thermal Properties

The total conductivity is illustrated by the image below.

To compute for total conductivity, two essential parameters are needed and these parameters are Lattice Vibration Conductivity (Kl) and Electron Thermal Conductivity (Ke).

The formula for calculating the total conductivity:

K = Kl + Ke

Where:

K = Total Conductivity
Kl = Lattice Vibration Conductivity
Ke = Electron Thermal Conductivity

Let’s solve an example;
Find the total conductivity when the lattice vibration conductivity is 32 and the electron thermal conductivity is 8.

This implies that;

Kl = Lattice Vibration Conductivity = 32
Ke = Electron Thermal Conductivity = 8

K = Kl + Ke
K = 32 + 8
K = 40

Therefore, the total conductivty is 40 S/m.

Calculating the Lattice Vibration Conductivity when the Total Conductivity and the Electron Thermal Conductivity is Given.

Kl = K – Ke

Where:

Kl = Lattice Vibration Conductivity
K = Total Conductivity
Ke = Electron Thermal Conductivity

Let’s solve an example;
Find the lattice vibration conductivity when the total conductivity is 24 and the electron thermal conductivity is 6.

This implies that;

K = Total Conductivity = 24
Ke = Electron Thermal Conductivity = 6

Kl = K – Ke
Kl = 24 – 6
Kl = 18

Therefore, the lattice vibration conductivity is 18.