Example6 Electric Field Created by Spherical Charge

General

  • In this exercise, a spherical charge is placed in the air.
     

  • The electric field created by it is solved and the equipotential map is acquired.
     

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

 

Analysis Space

Item

Settings

Analysis Space

3D

Model unit

mm

 

Analysis Conditions

Select “Static analysis” as the potential is static.

Item

Settings

Solver

Electric Field Analysis [Coulomb]

Analysis Type

Static analysis

Material Type

Dielectric material

Options

N/A

 

Ambient air scale in this Exercise is a bit larger than the default setting.

Tab

Setting Item

Settings

Mesh Tab

Ambient Air Creation

Create ambient air automatically: Select

Ambient Air Scale: 5.0

 

The electric field exists outside the analysis region. Therefore the open boundary condition below is applied initially.

Tab

Setting Item

Settings

Open Boundary Tab

Type

Absorbing boundary

Order of Absorbing Boundary

1st degree

Model

A sphere to represent the spherical charge is placed inside the cube.

Body Attributes and Materials

Body Number/Type

Body Attribute Name

Material Name

1/Solid

Sphere

000_Air(*)

* Available from the Material DB

 

Charge is set in the body attribute.

Body Attribute Name

Charge

Sphere

Charge density: Charge Density 1×10^-3[C/m3]

Boundary Conditions

Boundary Condition Name/Topology

Tab

Boundary Condition Type

Settings

Outer Boundary Condition *

Electric

Open boundary

 

To set Outer Boundary Condition, go to the [Model] tab
 


 

and click [Outer Boundary Condition] .

 

 

[Results]

The figure below shows the gradation contour of the potential on the Z=0 plane.

 

 

The potential map around the charge is well presented visually.

The potential at the spherical center is the highest.