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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