Language:

Main >> Applications >> 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:
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^{10}s. the process ends (99.9% of full charge).
Download simulation files metal_sphere_charging.zip