Force on a ChargeEdit
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 VersionEdit
Electrostatic Stress TensorEdit
Surface Integral VersionEdit
The Maxwell Stress TensorEdit
Tij is called the Maxwell Stress Tensor, it has two indices and is not a vector so is given a double arrow.