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# Example6Electric 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.

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