Electrodynamics/Electrostatic Stress Tensor
Force on a Charge edit
When we want to discuss the force on a charge due to a charge distribution, there are two options. The first is a more traditional method: an integral over a volume containing the charge distribution. The second method is less traditional but is easier to do: a surface integral over a special stress tensor.
Volume Integral Version edit
Electrostatic Stress Tensor edit
Surface Integral Version edit
The Maxwell Stress Tensor edit
Tij is called the Maxwell Stress Tensor, it has two indices and is not a vector so is given a double arrow.