How to Calculate and Solve for Hall Voltage | Electrical Properties

The image of hall voltage is shown below. To calculate 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
That is, 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 are 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;

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VH = Hall Voltage = 10
Ix = Current = 8
Bz = Magnetic Field = 4
d = Thickness = 2

RH = VH x d / Ix x Bz
Then, RH = 10 x 2 / 8 x 4
RH = 20 / 32
RH = 0.625

Therefore, the hall coefficient is 0.625.

Read more: How to Calculate and Solve for Voltage | Ohm’s Law

Calculating the Current when the Hall Voltage, the Hall Coefficient, the Magnetic Field and the Thickness are 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
So, 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 are 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
Then, 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 are 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
So, d = 10 x 4 x 6 / 22
d = 240 / 22
d = 10.90

Therefore, the thickness is 10.90.

How to Calculate Hall Voltage Using Nickzom Calculator

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
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 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.

How to Calculate and Solve for Hall Voltage | Electrical Properties

Finally, Click on Calculate

How to Calculate and Solve for Hall Voltage | Electrical Properties
How to Calculate and Solve for Hall Voltage | Electrical Properties

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.

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