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Electrostatics

Coulomb's law, electric field, potential, capacitors

Key Concepts

  • Coulomb's law: force between point charges
  • Electric field lines originate from positive, terminate at negative charges
  • Electric potential: work done per unit charge to bring test charge from infinity
  • Gauss's law: total flux through closed surface = Q_enclosed / ε₀
  • Electric field inside a conductor is zero; potential is constant

Important Formulae

Coulomb's force F = kq₁q₂/r²; k = 9×10⁹ N·m²/C²
Electric field E = kq/r²
Electric potential V = kq/r
Capacitance (parallel plate) C = ε₀A/d
Energy stored in capacitor U = ½CV² = Q²/2C
Gauss's law ∮E·dA = Q_enc/ε₀

Quick Tips

  • Capacitors in series: 1/C_eff = Σ(1/Cᵢ); in parallel: C_eff = ΣCᵢ.
  • Dipole: p = qd; torque τ = pE sinθ; potential energy U = −pE cosθ.
  • Dielectric increases capacitance by factor κ (dielectric constant).

Sample Practice Questions

  1. Potential at the centre of a charged ring of radius R and charge Q:

    • Zero
    • kQ/R
    • kQ/R²
    • kQ/2R
    Show answer

    Answer: kQ/R

  2. Gauss's law states that total electric flux through a closed surface equals:

    • Q × ε₀
    • Q_enclosed/ε₀
    • ε₀/Q
    • Q/4πε₀
    Show answer

    Answer: Q_enclosed/ε₀

  3. Torque on an electric dipole of moment p in field E at angle θ:

    • pE cosθ
    • pE sinθ
    • pE tanθ
    • p/E sinθ
    Show answer

    Answer: pE sinθ

  4. Electric field due to an infinite plane sheet of charge density σ:

    • σ/ε₀
    • σ/2ε₀
    • 2σ/ε₀
    • σε₀
    Show answer

    Answer: σ/2ε₀

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Practice Questions

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Frequently Asked Questions

What are the key concepts in Electrostatics for NEET?

Coulomb's law: force between point charges; Electric field lines originate from positive, terminate at negative charges; Electric potential: work done per unit charge to bring test charge from infinity; Gauss's law: total flux through closed surface = Q_enclosed / ε₀; Electric field inside a conductor is zero; potential is constant.

Which formulae are important for Electrostatics in NEET?

Coulomb's force: F = kq₁q₂/r²; k = 9×10⁹ N·m²/C²; Electric field: E = kq/r²; Electric potential: V = kq/r; Capacitance (parallel plate): C = ε₀A/d; Energy stored in capacitor: U = ½CV² = Q²/2C; Gauss's law: ∮E·dA = Q_enc/ε₀.

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