How to Calculate and Solve for Hall Voltage | Electrical Properties
Last Updated on August 11, 2022
The image of hall voltage is shown below.
To compute for hall voltage, four essential parameters are needed and these parameters are Hall Coefficient (RH), Current (Ix), Magnetic Field (Bz) and Thickness (d).
The formula for calculating hall voltage:
VH = RHIxBz/d
Where:
VH = Hall Voltage
RH = Hall Coefficient
Ix = Current
Bz = Magnetic Field
d = Thickness
Let’s solve an example;
Find the hall voltage when the hall coefficient is 21, the current is 7, the magnetic field is 4 and the thickness is 2.
This implies that;
RH = Hall Coefficient = 21
Ix = Current = 7
Bz = Magnetic Field = 4
d = Thickness = 2
VH = RHIxBz/d
VH = (21)(7)(4)/2
VH = (588)/2
VH = 294
Therefore, the hall voltage is 294 V.
Calculating the Hall Coefficient when the Hall Voltage, the Current, the Magnetic Field and the Thickness is Given.
RH = VH x d / Ix x Bz
Where:
RH = Hall Coefficient
VH = Hall Voltage
Ix = Current
Bz = Magnetic Field
d = Thickness
Let’s solve an example;
Find the hall coefficient when the hall voltage is 10, the current is 8, the magnetic field is 4 and the thickness is 2.
This implies that;
VH = Hall Voltage = 10
Ix = Current = 8
Bz = Magnetic Field = 4
d = Thickness = 2
RH = VH x d / Ix x Bz
RH = 10 x 2 / 8 x 4
RH = 20 / 32
RH = 0.625
Therefore, the hall coefficient is 0.625.
Calculating the Current when the Hall Voltage, the Hall Coefficient, the Magnetic Field and the Thickness is Given.
Ix = VH x d / RH x Bz
Where:
Ix = Current
VH = Hall Voltage
RH = Hall Coefficient
Bz = Magnetic Field
d = Thickness
Let’s solve an example;
Find the current when the hall voltage is 24, the hall coefficient is 8, the magnetic field is 6 and the thickness is 4.
This implies that;
VH = Hall Voltage = 24
RH = Hall Coefficient = 8
Bz = Magnetic Field = 6
d = Thickness = 4
Ix = VH x d / RH x Bz
Ix = 24 x 4 / 8 x 6
Ix = 96 / 48
Ix = 2
Therefore, the current is 2.
Calculating the Magnetic Field when the Hall Voltage, the Hall Coefficient, the Current and the Thickness is Given.
Bz = VH x d / RH x Ix
Where:
Bz = Magnetic Field
VH = Hall Voltage
RH = Hall Coefficient
Ix = Current
d = Thickness
Let’s solve an example;
Find the magnetic field when the hall voltage is 40, the hall coefficient is 20, the current is 5 and the thickness is 2.
This implies that;
VH = Hall Voltage = 40
RH = Hall Coefficient = 20
Ix = Current = 5
d = Thickness = 2
Bz = VH x d / RH x Ix
Bz = 40 x 2 / 20 x 5
Bz = 80 / 100
Bz = 0.8
Therefore, the magnetic field is 0.8
Calculating the Thickness when the Hall Voltage, the Hall Coefficient, the Current and the Magnetic Field is Given.
d = RH x Ix x Bz / VH
Where:
d = Thickness
VH = Hall Voltage
RH = Hall Coefficient
Ix = Current
Bz = Magnetic Field
Let’s solve an example;
Find the thickness when the hall voltage is 22, the hall coefficient is 10, the current is 4 and the magnetic field is 6.
This implies that;
VH = Hall Voltage = 22
RH = Hall Coefficient = 10
Ix = Current = 4
Bz = Magnetic Field = 6
d = RH x Ix x Bz / VH
d = 10 x 4 x 6 / 22
d = 240 / 22
d = 10.90
Therefore, the thickness is 10.90.
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the hall voltage.
To get the answer and workings of the hall voltage 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
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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 Hall Voltage under Electrical Properities
The screenshot below displays the page or activity to enter your values, to get the answer for the hall voltage according to the respective parameter which is the Hall Coefficient (RH), Current (Ix), Magnetic Field (Bz) and Thickness (d).
Now, enter the values appropriately and accordingly for the parameters as required by the Hall Coefficient (RH) is 21, Current (Ix) is 7, Magnetic Field (Bz) is 4 and Thickness (d) is 2.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the hall voltage and presents the formula, workings and steps too.