How to Calculate and Solve for Velocity of Light | Optical Properties
Last Updated on July 16, 2022
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))
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 is 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;
C = Velocity of Light = 20
μo = Magnetic Permittivity of Vacuum =10
εo = (1 / C)2 / μo
εo = (1 / 20)2 / 10
εo = (0.05)2 / 10
εo = 0.0025 / 10
εo = 0.00025
Therefore, the electric permittivity of vacuum is 0.00025.
Calculating the Magnetic Permittivity of Vaccum when the Velocity of Light and the Electric Permittivity of Vaccum is 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
μo = (0.0714)2 / 8
μo = 0.0050 / 8
μo = 0.00063
Therefore, the magnetic permittivity of vacuum is 0.00063.
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.
Finally, Click on Calculate
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.
