﻿ Hall Element AnalysisExamples | Product | Murata Software Co., Ltd.

# Example10Hall Element Analysis

### General

• In the p-type (or n-type) semiconductor, the current flows in Z direction where the magnetic field exists in y direction.
Charged particles move in x direction due to the Lorentz force.
This results in Hall effect: the production of electric field perpendicular to both the current and the magnetic field.

• The Hall voltage and the resistance are solved in this exercise.

• Unless specified in the list below, the default conditions will be applied.

### Analysis Space

 Item Settings Analysis Space 2D Model unit mm

### Analysis Conditions

The analysis space is 2D only for Hall element analysis.

 Item Settings Solvers Electric Field Analysis [Coulomb] Analysis Type Static analysis Material Type Conductor Options Select “Perform the Hall element analysis”.

Define the external magnetic field.

 Tab Setting Item Settings External magnetic field External magnetic field Y component: 79577[A/m] (=1[Kgauss])

### Model

A sheet body represents the device. The electrodes to apply the voltage and to monitor the Hall voltage are set on the circumferential edges.

### Body Attributes and Materials

 Body Number/Type Body Attribute Name Material Name 0/Sheet HallDevice HallDevice

 Body Attribute Name Thickness/Width HallDevice Thickness of Sheet Body: 3×10^-3[mm]

 Material Name Conductor wall HallDevice Conductivity Type: Semiconductor Hall coefficient: 3.5×10^-4[m3/C] Hall mobility: 7.4[m2/V/sec]

### Boundary Conditions

Set voltages on V0 and V1. F1 and F2 are floating.

 Boundary Condition Name/Topology Tab Boundary Condition Type Settings V0/Edge Electric Electric wall Voltage specified, 0[V] V1/Edge Electric Electric wall Voltage specified, 1[V] F1/Edge Electric Electric wall Floating Electrode F2/Edge Electric Electric wall Floating Electrode

### Results

To view the calculation results, go to the [Results] tab

click [Table] .

The potential difference between F1 and F2 is the Hall voltage.

The isoline contour of the potential is shown below.

The contour’s division is set to “Equal spacing” and the division number is 20 on the Contour tab of Graphics Setup dialog box.

The vectors of the current density are shown below.

You can see that the distributions of potential and current are disturbed due to the Hall effect.

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