Question

Вывод формулы эффекта Холла. Как вывести?

Answer 1

Ux=Ex*h(1)
q*Ex=q*V*B
Ex=B*V Так как V=j/n*q    Ex=B*j/n*q*2)
Подставляем 2 в1   Ux=j*B*h/n*q=>B*h*L/n*q*s=>B*L/q*n*a=>R*B*L/a
R=1/n*q- коэффициент Холла

Answer 2

Derivation of the Hall Effect Formula

The Hall effect is the production of a voltage difference (the Hall voltage) across an electrical conductor, transverse to an electric current in the conductor and a magnetic field perpendicular to the current. The Hall effect can be described by the formula:

VH = IB * d * B / nq

Where: - VH is the Hall voltage, - IB is the current in the conductor, - d is the thickness of the conductor, - B is the magnetic field, - n is the number of charge carriers per unit volume, - q is the charge of an electron.

The Hall effect formula can be derived using the Lorentz force and the equation of motion for charged particles in a magnetic field. When a magnetic field is applied perpendicular to the direction of current flow in a conductor, the Lorentz force causes the charge carriers to experience a force that results in the accumulation of charge on one side of the conductor, creating a measurable voltage difference perpendicular to both the current and the magnetic field.

The detailed derivation involves considering the force on the charge carriers due to the magnetic field and the resulting accumulation of charge on the sides of the conductor, leading to the Hall voltage. The final formula is obtained by equating the force on the charge carriers to the rate of change of momentum.

For a more detailed derivation and understanding of the Hall effect formula, it is recommended to refer to physics textbooks or online resources that provide step-by-step explanations and illustrations of the derivation process.