[LECS/EM-03001]-Electric Potential
For page specific messages
For page author info
The concept of electric potential for static electric field is defined as work done on a unit charge. The expression for the electric potential of a \(q\) charge is obtained. For a system of point charges the potential can be written down as superposition of potential due to individual charges. As an illustration we compute potential due to a dipole.
Computation of Electric Potential
The curl free nature of the electric field in electrostatics implies existence of a potential,\(\phi(\vec(r))\), from which the electric field can be derived as \(\vec{E}=-\nabla \phi\). The potential at a point is just the work done in moving a unit point charge from infinity to its current position.
Click for details
|
Work done in field of a point charge
We discuss the path independence of the work done by static electric field. This leads to, as in mechanics, introduction of the electric potential. An expression of the electric potential is derived by an explicit computation of work done by on a unit positive charge by the electric field of a point charge \(q\). For an arbitrary distribution of charges, the electric potential is obtained by making use of the superposition principle.
Click for details
|
|
|