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Electrostatics and Magnetism

Coulomb law, capacitors, magnetic force, EMI, transformers

Coulomb LawElectric FieldCapacitorsMagnetic ForceFaraday LawLenz LawTransformer
📋 PYQs Available:
20232022202120202019
Expert Content

Electrostatics and Magnetism (NEET Physics)

Why This Chapter Matters

Electrostatics and Magnetism together carry 8-12 marks in NEET. Coulomb's law, electric field, capacitors, magnetic force, and electromagnetic induction are all tested with numerical problems.

Core Concepts

1. Electrostatics

Coulomb's Law: F = kq₁q₂/r² | k = 9×10⁹ N·m²/C²

Electric field: E = F/q₀ = kQ/r² (due to point charge)

Electric potential: V = kQ/r | E = -dV/dr

Gauss's Law: ∮E·dA = q_enc/ε₀

Capacitor:

C = Q/V = ε₀A/d (parallel plate)

With dielectric κ: C = κε₀A/d (κ increases capacitance)

Energy stored: U = ½CV² = Q²/2C

Series: 1/C = 1/C₁ + 1/C₂ | Parallel: C = C₁ + C₂

2. Current Electricity Review

Ohm's Law: V = IR | P = VI = I²R = V²/R

Kirchhoff's Laws (KVL + KCL)

Wheatstone bridge: P/Q = R/S (balanced condition)

3. Magnetic Effects of Current

Biot-Savart Law: dB = (μ₀/4π)(Idl × r̂)/r²

Magnetic field due to infinite straight wire: B = μ₀I/2πr

Circular loop (centre): B = μ₀I/2R

Solenoid (inside): B = μ₀nI

Lorentz Force: F = q(v × B) = qvBsinθ

No work done by magnetic force.

Circular motion in B: r = mv/qB, T = 2πm/qB (period independent of speed)

Force on current-carrying conductor: F = BILsinθ

Force between parallel wires: F/L = μ₀I₁I₂/2πd

Same direction: attract | Opposite: repel

4. Electromagnetic Induction

Faraday's Laws:

1.EMF is induced when magnetic flux changes.
2.Magnitude of induced EMF = rate of change of magnetic flux.

ε = -dΦ/dt (Lenz's law gives negative sign)

Lenz's Law: Induced current opposes the change causing it.

Self-inductance: ε = -L(dI/dt) | Energy stored in inductor: U = ½LI²

AC Generator: e = e₀sinωt | e₀ = NBAω (N=turns, B=field, A=area, ω=angular velocity)

Transformer: V₁/V₂ = N₁/N₂ | Step-up: N₂ > N₁ | Step-down: N₂ < N₁

Power: V₁I₁ = V₂I₂ (ideal transformer, no losses)

PYQs (NEET)

NEET 2023: Two charges +4μC and -4μC separated by 0.2 m. Electric potential at midpoint?

At midpoint (0.1m from each): V = kq₁/r₁ + kq₂/r₂ = 9×10⁹×4×10⁻⁶/0.1 + 9×10⁹×(-4×10⁻⁶)/0.1 = 0 V

(Equal and opposite potentials cancel)

NEET 2022: A proton is moving in a magnetic field. If speed is doubled, radius of circular path?

r = mv/qB → r doubles (r ∝ v, since m, q, B unchanged)

NEET 2021: Transformer output voltage is 220 V from 11000 V input. Turns ratio N₁/N₂?

V₁/V₂ = N₁/N₂ → 11000/220 = 50. Step-down transformer, N₁:N₂ = 50:1

Revision Notes

ELECTROSTATICS:
Coulomb: F = kq₁q₂/r² | k = 9×10⁹
Field: E = kQ/r² | Potential: V = kQ/r
Capacitor: C = ε₀A/d | Dielectric: C = κε₀A/d
Energy: U = ½CV²

MAGNETISM:
Straight wire: B = μ₀I/2πr | Solenoid: B = μ₀nI
Lorentz force: F = qvBsinθ (no work, circular motion)
r = mv/qB | T = 2πm/qB (T independent of speed)

EMI:
Faraday: ε = -dΦ/dt | Lenz: induced current opposes change
Transformer: V₁/V₂ = N₁/N₂ | P₁ = P₂ (ideal)
AC: e = e₀sinωt
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