Category:Field Strength

This category contains results about Field Strength.
Definitions specific to this category can be found in Definitions/Field Strength.

Let $P$ be a point in a conservative field $V$.

The field strength $\map {\mathbf g} {\mathbf r}$ of $V$ at $P$ is given by:

$\ds \map {\mathbf g} {\mathbf r}$

$:=$

$\ds \pm \map \nabla \phi$

$\pm$ according to sign convention adopted

$\ds $

$=$

$\ds \dfrac {\partial \phi} {\partial x} \mathbf i + \dfrac {\partial \phi} {\partial y} \mathbf j + \dfrac {\partial \phi} {\partial z} \mathbf k$

where:

$\phi$ denotes the potential at $P$

$\mathbf r$ denotes the position vector of $P$: $\mathbf r = \tuple {x, y, z}$

$\map \nabla \phi$ denotes the gradient of $\phi$

$\tuple {\mathbf i, \mathbf j, \mathbf k}$ denotes the standard ordered basis of $\R^3$

Field strength is a vector quantity.

Subcategories

This category has only the following subcategory.