PhysicsChapter 5: Electric Potential and Capacitor
Potential Due To Multiple Charges and Equipotential Surfaces
Because electric potential is scalar, the total potential produced by several point charges is the algebraic sum of their individual potenti
Definition
Because electric potential is scalar, the total potential produced by several point charges is the algebraic sum of their individual potentials. An equipotential surface is a surface on which electric potential has the same value everywhere.
Equipotential Surface
For charges: `Q₁, Q₂, ... Qn` at distances: `r₁, r₂, ... rn` the total potential is: V = kΣ(Qᵢ/rᵢ) This is scalar superposition. If two points are on the same equipotential: **ΔV = 0 Therefore: ΔU=qΔV=0** and the electrostatic field does no net work moving a charge along that equipotential path.
Relation to Electric Field
Electric field is perpendicular to equipotential surfaces. If it had a component along an equipotential surface, it would change the potential along that surface.
Point Charge
Equipotential surfaces around an isolated point charge are spherical surfaces centered on the charge.
Formula / Key Relation
**Vtotal = ΣVᵢ V = kΣ(Qᵢ/rᵢ) On equipotential: ΔV=0**
Exam preparation
Exam Focus
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Review the key facts, formulas and checks before you move on.Potential Due To Multiple Charges and Equipotential Surfaces
Sticky Notes · Quick Revision
Multiple charges:
- `V_total = V₁+V₂+...`
- Equipotential:
- `ΔV=0`
- Field ⟂ equipotential
60-second revision
- Potentials add algebraically; field lines cross equipotentials at right angles.
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