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- PHY102 Physics II © Dr.Cem Özdoğan
- 24-10 Calculating the Field from the Potential
- Suppose that a positive test charge q0 moves through a displacement from one equipotential surface to the adjacent surface.
- The work the electric field does on the test charge during the move is -q0 dV.
- The work done by the electric field may also be written as the scalar product of
- =q0E(cosθ)ds.
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- Therefore, the component of E in any direction is the negative of the rate at which the electric potential changes with distance in that direction.
- If we take the s axis to be, in turn, the x, y, and z axes, the x, y, and z components of E at any point are
- Since E cos θ is the component of E in the direction of ds,