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

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# 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:

 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).