Explain hall effect with hall mobility and hall angle, Electrical Engineering

Explain Hall effect.

Consider a slab of material wherein there is a current density J resulting by an applied electric field Ex in the x- direction. The electrons will drift along with an average velocity V‾x in the x direction; while a magnetic field of flux density Bz (wb/m2) is superposed upon the applied electric field in the Z direction the electrons will experience a Lorentz force perpendicular to V‾x and to Bz; the magnitude of this force will be specified by Bz (µx)e.

1737_hall effect1.png

Thus the electrons are driven towards one face in the sample resulting in an excess of electrons near one face and a deficiency of electrons near the other face. These charges will in turn create a counteracting electric field Ey in the y-direction. Ey would build up, till this is of sufficient magnitude to compensate the lorentz force exerted on the electrons because of the magnetic field we may hence write e Ey =Bz e( V‾x ). In steady state, a Hall voltage, VH, is thereby put in the y-direction specified by

VH = Ey .a =Bz (V‾x), a

The current density in the sample is specified with:

Jx = N. e (V‾x)

Here N=number of conduction electrons/m³

The current density can be computed from the total current and the cross section (a x b) of the sample.


Jx = I/a x b = N. e (V‾x)

I = N. e (V‾x) a x b   ....................................(1)

VH = BZ (V‾x) . a    ......................................(2)

Eliminating (V‾x) from equating (1) and (2) we get:

VH = I/(N.e.b)

= (1/N.e) ((BZ.I)/b)

The ratio + (1/N.e) = Ey/(JX.BZ) should be constant.

Another variable that is frequently used to explain the Hall Effect is the ratio of the currents JY to JX.

This is termed as the Hall angle and is denoted with θ θ = JY / JX = σ EY / JX

= σ RH BZ

= µ H BX

Here µ H is termed as the Hall mobility. The hall angle is equal to the average no. of radians traversed through a particle between collisions.

Posted Date: 5/21/2013 5:41:54 AM | Location : United States

Related Discussions:- Explain hall effect with hall mobility and hall angle, Assignment Help, Ask Question on Explain hall effect with hall mobility and hall angle, Get Answer, Expert's Help, Explain hall effect with hall mobility and hall angle Discussions

Write discussion on Explain hall effect with hall mobility and hall angle
Your posts are moderated
Related Questions
what is use of dummy coil in DC m/c????

Q.   How and why are the grounding and shielding used in electronic instruments? Sol. In electronic instruments grounding and Shielding techniques are available in order to a

Interfaced 2k X 8 (i.e 2716) EPROM using multiple input NAND gate decoder for memory locations FF800H-FFFFFH. Simple NAND gate Decoder:  While the 2k x 8 EPROM is used so addre

Voltage Doubler: The network of Fig. is a half wave voltage doublers. During the positive voltage half cycle across the transformer, secondary diode D 1 conducts, charging ca

expain how to do proper initial approximatio for the given cct....... by a example

Analysis of diode circuits

High Voltage Distribution System or HVDS Adoption of HVDS (High Voltage Distribution System) through converting existing LVDS to HVDS reduces the technical losses appreciably.

Q. A 5-kVA, 480:120-V, two-winding, 60-Hz, single-phase transformer has an efficiency of 95% while delivering rated load at rated voltage and 0.8 power factor lagging. This transfo

What is the use of 8251 chip? 8251 chip is mostly used as the asynchronous serial interface among the processor and the external equipment.

Q. What do you mean by Phase Sequence? It is standard practice in the United States to designate the phase A-B-C such that under balanced conditions the voltage and current in