Charging of the metal sphere through the current limiting resistor --QuickField FEA Software

A new approach to field modelling

Language:


RSS Twitter YouTube Blogger Facebook Linkedin

Main > Application > Sample problems

Charging of the metal sphere through the current limiting resistor

Simulate the charging process, determine the charging time, and calculate the maximum current.

Problem Type:

Transient electric field

Geometry:

Sphere is connected through a resistor to the source and to the ground metal sphere equivalent circuit

All dimensions are in mm

Equivalent circuit

Given:

Relative permittivity of the air ε = 1;
Conductivity of metal g = 8 000 000 Sm;
Resistor R = 0.8 Ohm;
Nominal voltage E = 1.5 V.

Solution:

This system can be represented by an equivalent circuit with voltage source E, resistor R and capacitor C connected in series. The ground potential is zero. Resistor R limits the charging current value. Resistor is modeled directly in the QuickField problem by the block "resistor".

Results:

First the current hits the maximum value of 3.5 A. Then the current decreases rapidly and at 3*10-10s. the process ends (99.9% of full charge).

metal sphere charging current

metal sphere electric field

Download simulation files metal_sphere_charging.zip