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AAI ATC Physics — Electrostatic Potential & Capacitance Important Notes

1. What is Electrostatic Potential?

The work done in bringing a unit positive charge from infinity to a point in an electric field.

\( V = \frac{W}{q} \)

Where:

  • V: Potential (Volt)
  • W: Work done (Joule)
  • q: Charge (Coulomb)

Unit: Volt (V), where \( 1 \, V = 1 \, J/C \)

GenZ Example

Like lifting a ball onto a shelf = work done. Bringing a charge to a point = electrostatic potential.


2. Important AAI ATC Focused Concepts

3. Potential due to a Point Charge

The electric potential at a distance from a point charge.

\( V = \frac{k Q}{r} \)

Where:

  • Q: Source charge
  • r: Distance from the charge

PYQ Type: Formula MCQ

4. Potential Difference

The work done in moving a unit charge from one point to another in an electric field.

\( V_{AB} = V_A - V_B = \frac{W}{q} \)

AAI ATC Focus: Unit-based or formula definition

5. Capacitance (C)

Definition: The ability of a system to store charge per unit potential difference.

\( C = \frac{Q}{V} \)

Where:

  • C: Capacitance (Farad, F)
  • Q: Charge (C)
  • V: Potential (V)

GenZ Example

Your phone’s battery acts like a capacitor storing charge.

PYQ Type: Unit of capacitance / formula

6. Capacitance of a Parallel Plate Capacitor

Capacitance for parallel plates without and with dielectric.

Without dielectric: \( C = \frac{\epsilon_0 A}{d} \)
With dielectric: \( C = \frac{k \epsilon_0 A}{d} \)

Where:

  • A: Area of plates
  • d: Separation
  • k: Dielectric constant
  • ε₀: Permittivity of free space (8.85 × 10⁻¹² F/m)

PYQ Type: Theory or unit matching Q in exams

7. Energy Stored in a Capacitor

The energy stored when a capacitor is charged.

\( U = \frac{1}{2} C V^2 \)

Unit: Joules (J)

GenZ Example

Like energy stored in a power bank before you use it.

PYQ Type: Concept MCQ

8. AAI ATC PYQ Analysis (2021–2023)

2021 Shift 2: Unit of capacitance (Farad)

2022 Shift 3: Formula of parallel plate capacitance

2023 Feb Shift 1: Potential difference formula based MCQ

9. Electrostatic Potential & Capacitance Formula Quick Revision

Formula Meaning
\( V = \frac{W}{q} \) Electrostatic potential
\( V = \frac{k Q}{r} \) Potential due to point charge
\( C = \frac{Q}{V} \) Capacitance
\( C = \frac{\epsilon_0 A}{d} \) Parallel plate capacitor
\( U = \frac{1}{2} C V^2 \) Energy stored in a capacitor

10. Quick Concept Recap

Concept GenZ Example
Higher charge = more potential Balloon stores more charge when rubbed longer
Closer capacitor plates = more capacitance Tighter packed power bank stores more energy
Dielectric increases capacitance Adding plastic inside a capacitor boosts storage
Energy stored = power bank energy before phone charge

11. Final AAI ATC Takeaway

Focus Areas:

  • 1–2 questions per shift
  • Potential & capacitance formulas
  • Unit of Farad (F)
  • Parallel plate formula
  • Energy stored in capacitor
  • Potential difference relation