Make use of the Hall Coefficient Calculator to find the hall coefficient that is the nature of charge carriers in a conductor. You have to enter voltage, thickness, current and magnetic field details in the provided input fields of the calculator. Hit the calculate button to check the result in a short span of time.
Steps to Calculate the Hall Coefficient
Go through the detailed step by step process on how to get the hall coeeficient of the electrons in a conductor. Follow these rules and check the output for your numbers.
- Obtain the required details like the voltage, current, thickness and magnetic field.
- Multiply the voltage by the conductor thickness.
- Divide the result by the product of current and magnetic field to check the hall coefficient value.
What is the Hall Effect?
Hall effect states that when a current-carrying conductor is placed to a perpendicular magnetic field, the voltage can be identified at the right angle to the current. This process of obtaining a measurable voltage is called the hall effect. It is discovered by Edwin Herbert Hall in the year 1879.
The applications of the Hall effect are following:
- Proximity detectors
- Hall effect sensors and probes
- It is used for phase angle measurement
- Hall effect Tong test is used for measuring the direct current
- Magnetic field sensing equipment
Hall Coefficient Formula
The hall coefficient is used to measure the strength of the hall effect. It is mathematically represented as
RH = Vt/(IB)
Voltage V = RH x I x B/t
Thickness t = RH x I x B/V
Current I = Vt/(RH x B)
B = Vt/(RH x I)
RH is the hall coefficient
V is the observed voltage difference
t is the thickness of the conductor
I is the current running through the conductor
B is the magnetic field
Hall coefficient gives the nature of the charge carriers and their concentration in the conductor. Its formula is
RH = -1/(nq)
n is the concentration of the carriers
q is the charge of a single carrier
Question: Find the hall coefficient for 5 x 1028 atom/m3 in the copper block.
nq = 5 x 1028 atom/m3
Hall coefficient RH = -1/(nq)
RH = -1/(5 x 1028)
= -0.125 x 10-9 m3/C
Therefore, the hall coefficient is -0.125 x 10-9 m3/C
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Frequently Asked Questions on Hall Coefficient Calculator
1. What is the use of the hall coefficient?
The hall coefficient is used to find the strength of the hall effect. The appearance of the voltage difference due to the magnetic field is called the hall effect.
2. What are the applications of the Hall effect?
The applications of the Hall effect are the current transformers, keyboard switch, speed detection, galaxy S4 accessories, position sensing and others.
3. What is the formula for the hall coefficient?
The hall coefficient formula is RH = Vt/(IB). Here Rh is the Hall coefficient, V is the observed voltage difference, I is current, B is the magnetic field.
4. Can the Hall coefficient be zero?
Hall coefficient depends on the electrons concentration and mobility of carriers. If the gap between the conduction band and variance band is high, then the conductivity is zero in the insulator. Zero conductivity means zero mobility then the hall coefficient is also zero.