How to Calculate and Solve for Velocity of Light | Optical Properties

The velocity of light is illustrated by the image above. To compute for velocity of light, two essential parameters are needed and these parameters are Electric Permittivity of Vacuum (εo) and Magnetic Permittivity of Vacuum (μo).

The formula for calculating velocity of light:

C = 1/√(εoμo)

Where:

C = Velocity of Light
εo = Electric Permittivity of Vacuum
μo = Magnetic Permittivity of Vacuum

Given an example;
Find the velocity of light when the electric permittivity of vacuum is 24 and the magnetic permittivity of vacuum is 10.

This implies that;

εo = Electric Permittivity of Vacuum = 24
μo = Magnetic Permittivity of Vacuum = 10

C = 1/√(εoμo)
C = 1/√((24)(10))
So, C = 1/√(240)
C = 1/15.491
C = 0.064

Therefore, the velocity of light is 0.064m/s.

Calculating the Electric Permittivity of Vacuum when the Velocity of Light and the Magnetic Permittivity of Vacuum are Given

εo = (1 / C)2 / μo

Where:

εo = Electric Permittivity of Vacuum
C = Velocity of Light
μo = Magnetic Permittivity of Vacuum

Let’s solve an example;
Find the electric permittivity of vacuum when the velocity of light is 20 and the magnetic permittivity of vacuum is 10.

This implies that;

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C = Velocity of Light = 20
μo = Magnetic Permittivity of Vacuum =10

εo = (1 / C)2 / μo
εo = (1 / 20)2 / 10
That is, εo = (0.05)2 / 10
εo = 0.0025 / 10
εo = 0.00025

Therefore, the electric permittivity of vacuum is 0.00025.

Read more: How to Calculate and Solve for Velocity of Light in Medium | Optical Properties

Calculating the Magnetic Permittivity of Vaccum when the Velocity of Light and the Electric Permittivity of Vaccum are Given

μo = (1 / C)2 / εo

Where:

μo = Magnetic Permittivity of Vacuum
C = Velocity of Light
εo = Electric Permittivity of Vacuum

Let’s solve an example;
Find the magnetic permittivity of vacuum when the velocity of light is 14 and the electric permittivity of vacuum is 8.

This implies that;

C = Velocity of Light = 14
εo = Electric Permittivity of Vacuum = 8

μo = (1 / C)2 / εo
μo = (1 / 14)2 / 8
That is, μo = (0.0714)2 / 8
μo = 0.0050 / 8
μo = 0.00063

Therefore, the magnetic permittivity of vacuum is 0.00063.

Read more: How to Calculate and Solve for Intensity of Radiation transmitted through Medium | Optical Properties

How to Calculate the Velocity of Light Using Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the velocity of light.

To get the answer and workings of the velocity of light 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 Optical Properities under Materials and Metallurgical

Now, Click on Velocity of Light under Optical Properities

The screenshot below displays the page or activity to enter your values, to get the answer for the velocity of light according to the respective parameter which is the Electric Permittivity of Vacuum (εo) and Magnetic Permittivity of Vacuum (μo).

Now, enter the values appropriately and accordingly for the parameters as required by the Electric Permittivity of Vacuum (εo) is 24 and Magnetic Permittivity of Vacuum (μo) is 10.

How to Calculate and Solve for Velocity of Light | Optical Properties

Finally, Click on Calculate

How to Calculate and Solve for Velocity of Light | Optical Properties
How to Calculate and Solve for Velocity of Light | Optical Properties

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

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