<aside> 📎 The change in electric potential energy depends on the electric field, the charge being moved, and the charge's displacement: $\triangle E_e = -q\epsilon \triangle d$

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• For $\triangle E_E > 0$, work is done against the electric field ($-W$), resulting in energy stored in the field
• For $\triangle E_E < 0$, work is done by the electric field $(+W)$ on a particle moving in the field, which typically increases the kinetic energy of the particle

The electric potential is the electric potential energy per unit charge at a given point in an electric field $V = \frac{E_E}{q}$

• The magnitude of an electric field varies with the electric potential difference and the change in position in the field $\epsilon = - \frac{\triangle V}{\triangle d}$