Conservative Vector Field/Examples/Electric Field

Example of Conservative Vector Field

Let $F$ be an electric potential field over a region of space $R$.

Let $F$ give rise to the electric field $\mathbf V$.

Then $\mathbf V$ is a conservative vector field, as it is the gradient of $F$.

Sources

• 1951: B. Hague: An Introduction to Vector Analysis (5th ed.) ... (previous) ... (next): Chapter $\text {IV}$: The Operator $\nabla$ and its Uses: $2 a$. The Operation $\nabla S$