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Electrostatic potential is one of those topics where students often feel: “Concept samajh aata hai, but visualize nahi hota.” Let’s fix that step by step - clearly, visually, and in a way you can actually use in exams.
Electrostatic potential at a point is:
The work done in bringing a unit positive charge from infinity to that point (without acceleration).
Electrostatic potential = Energy per unit charge
V = W / q
| Physics Concept | Real-Life Analogy |
|---|---|
| Charge | Water |
| Potential | Height of tank |
| Flow of charge | Flow of water |
| Potential difference | Height difference |
Water flows from higher level → lower level
Charge flows from higher potential → lower potential
V = (1 / 4πϵ₀) × (q / r)
| Situation | Effect on Potential |
|---|---|
| Increase charge | Potential increases |
| Increase distance | Potential decreases |
| Negative charge | Potential becomes negative |
| Concept | Meaning | Formula |
|---|---|---|
| Potential Energy | Energy of a charge in field | U = qV |
| Potential | Energy per unit charge | V = U/q |
ΔV = VB − VA = W / q
| Property | Meaning |
|---|---|
| No work done | Moving charge requires zero work |
| Perpendicular to field | Always perpendicular to electric field |
| Example | Surface of sphere |
If you lift a book → work is done
If you slide it on table → no work
Same idea applies in electrostatics.
E = − dV / dr
| Topic | Key Idea |
|---|---|
| Potential | Energy per unit charge |
| Unit | Volt |
| Formula | V = W/q |
| Point charge | V ∝ 1/r |
| Equipotential | No work done |
| Field relation | E = −dV/dr |
Vtotal = V₁ + V₂ + V₃ + ...
| Mistake | Correct Understanding |
|---|---|
| Potential = Field | Potential is scalar, field is vector |
| Ignoring sign | Negative charge gives negative potential |
| No reference | Potential at infinity = 0 |
Find potential at 2 m from charge 2 × 10⁻⁶ C
V = 9 × 10⁹ × (q / r)
V = 9 × 10⁹ × (2 × 10⁻⁶ / 2) = 9000 V
Final Answer: 9000 Volt
| Application | Explanation |
|---|---|
| Capacitors | Store energy using potential difference |
| Lightning | Huge potential difference |
| Batteries | Maintain constant voltage |
| Circuits | Control current |
| Concept | Formula |
|---|---|
| Potential | V = W/q |
| Point charge | V = kq/r |
| Energy | U = qV |
| Field | E = −dV/dr |
| Superposition | V = ΣV |
Don’t just read - solve 5–10 numericals daily.
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Fill Inquiry FormElectrostatic potential becomes easy when you visualize it, understand formulas, and practice regularly.
Remember: Potential = Energy per charge
If you want to practice this topic, you can take a quiz in Curious Corner for better practice.
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