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Main >> Applications >> Sample problems >> Charging of the metal sphere through the current limiting resistor

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 S/m;
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

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