- #1
asdff529
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how to interpret this equation physically?
Why increase of B will lead to increase of V?
Similar to I,n,e and t
thx a lot
Simon Bridge said:The force on the charge carriers in the current is ##\vec{F}=q\vec{v}\times\vec{B}## - if the charge carriers are constrained to move in a conductor, what happens?
The V is the voltage developed across the "width" of the conductor as a result of the lorentz force. V is what the equation is trying to find.asdff529 said:i got how to interpret B and e maybe
But for n and t,why would it matter the V?
The Hall effect equation is a mathematical relationship that describes the behavior of electric current in a conductor when a magnetic field is applied perpendicular to the direction of current flow. It represents the generation of an electric field in the direction perpendicular to both the current and magnetic field, known as the Hall voltage.
The Hall effect equation explains that when a magnetic field is applied to a conductor, the electrons experience a force due to their negative charge and are deflected in a direction perpendicular to the magnetic field. This results in a build-up of charge on one side of the conductor, creating an electric field and causing a voltage difference, known as the Hall voltage.
The Hall voltage is influenced by the strength of the magnetic field, the current flowing through the conductor, and the material properties of the conductor, such as its thickness and carrier density. It is also affected by the angle between the current and magnetic field, known as the Hall angle.
The Hall effect equation is used in a variety of applications, including sensors for measuring magnetic fields and currents, as well as in devices such as Hall effect thrusters and magnetometers. It is also used in the study of materials for their electrical and magnetic properties.
The Hall coefficient, represented by the symbol RH, is a material-specific constant that relates the Hall voltage to the applied magnetic field, current, and material properties. It is a measure of a material's ability to generate an electric field in response to a magnetic field, and is an important factor in understanding and characterizing the behavior of different materials in the Hall effect equation.