NEET Physics · NCERT Class 12

Electromagnetic Waves notes

Displacement Current, Electromagnetic Waves, Electromagnetic Spectrum and Applications — explained topic by topic with key points, formulas, memory tricks and common mistakes.

  • 5 topics
  • 45 min read
  • 19 formulas
  • 30 PYQs
1

Chapter Overview

7 min

Electromagnetic Waves connects electricity, magnetism and light through Maxwell’s ideas. The chapter begins with displacement current, introduced to fix Ampere’s law for situations like a charging capacitor where conduction current exists in wires but not between plates. Maxwell showed that changing electric fields produce magnetic fields and changing magnetic fields produce electric fields, allowing self-sustaining electromagnetic waves to travel through space. These waves have mutually perpendicular electric and magnetic fields and can travel even in vacuum at speed c = 1/√(μ0ε0). The electromagnetic spectrum arranges radio waves, microwaves, infrared, visible light, ultraviolet, X-rays and gamma rays by wavelength and frequency. NEET mainly tests formulas, spectrum order, properties and applications.

Key points6

  • Maxwell predicted electromagnetic waves theoretically before their experimental confirmation.
  • Displacement current ensures continuity of current in a charging capacitor.
  • EM waves do not require a material medium and can propagate through vacuum.
  • In an EM wave, E/B = c in vacuum.
  • Visible light is only a small part of the electromagnetic spectrum.
  • Different EM waves differ mainly in frequency and wavelength, not in nature.

Memory tricks2

Spectrum Order: Remember wavelength decreasing order: Radio, Microwave, Infrared, Visible, Ultraviolet, X-ray, Gamma.

EM Wave Orientation: E, B and direction of travel are mutually perpendicular like three coordinate axes.

Examples2

Real-Life Example

Your phone uses radio or microwave electromagnetic waves to communicate without wires.

NEET-Style Snapshot

If an EM wave has frequency 6 × 10¹⁴ Hz, its wavelength in vacuum is λ = c/f = 3 × 10⁸/(6 × 10¹⁴) = 5 × 10⁻⁷ m.

Common mistakes2

Saying EM Waves Need Medium

Electromagnetic waves can travel in vacuum because changing electric and magnetic fields sustain each other.

Reversing Frequency and Wavelength Order

As wavelength decreases, frequency increases because c = fλ.

Reference tables2

Quick revision8

Formulas5

Displacement Current
ID=ε0dΦE/dtID = ε0 dΦE/dt

Current equivalent produced by a changing electric flux.

ID
Displacement current
ε0
Permittivity of free space
ΦE
Electric flux
t
Time
Ampere-Maxwell Law
∮B⋅dl=μ0(IC+ID)∮B·dl = μ0(IC + ID)

Modified Ampere’s law including both conduction current and displacement current.

B
Magnetic field
dl
Small path element
IC
Conduction current
ID
Displacement current
μ0
Permeability of free space
Speed of Electromagnetic Waves
c=1/√(μ0ε0)c = 1/√(μ0ε0)

Speed of electromagnetic waves in vacuum.

c
Speed of light in vacuum
μ0
Permeability of free space
ε0
Permittivity of free space
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Diagrams3

2

Displacement Current

9 min

Displacement current was introduced by Maxwell to remove an inconsistency in Ampere’s circuital law. During charging of a capacitor, conduction current flows in the wires, but no actual charge crosses the gap between plates. Still, the magnetic field around the circuit is continuous, so Maxwell proposed that a changing electric field between the capacitor plates acts like a current. This is called displacement current, ID = ε0 dΦE/dt. It is not due to physical flow of charges across the dielectric or vacuum gap, but due to changing electric flux. Including it gives Ampere-Maxwell law: ∮B·dl = μ0(IC + ID). Displacement current is essential for continuity of current and for the existence of electromagnetic waves.

Key points6

  • Maxwell introduced displacement current as a correction to Ampere’s law.
  • It is not a current of moving free charges through the capacitor gap.
  • A changing electric field produces magnetic field just as conduction current does.
  • Displacement current is present in vacuum if electric field changes with time.
  • It preserves continuity of current in circuits with capacitors.
  • It is one of the key ideas leading to prediction of electromagnetic waves.

Memory tricks2

Why Displacement Current?: Capacitor gap has no charge crossing, but changing electric field continues the current effect.

Maxwell Correction: Ampere needed Maxwell’s missing current: conduction plus displacement.

Examples2

Numerical Example

If electric flux through a capacitor changes at 5 × 10¹¹ N m² C⁻¹ s⁻¹, then ID = ε0 dΦE/dt = 8.85 × 10⁻¹² × 5 × 10¹¹ = 4.425 A.

Concept Example

A steady charged capacitor has constant electric field, so displacement current is zero because dΦE/dt = 0.

Common mistakes2

Thinking Displacement Current Is Charge Flow Across Vacuum

Displacement current is not actual movement of free charges through vacuum; it is due to changing electric field.

Ignoring Displacement Current in Capacitor Gap

During charging, displacement current between plates equals conduction current in the wires.

Reference tables2

Quick revision8

Formulas4

Displacement Current
ID=ε0dΦE/dtID = ε0 dΦE/dt

Current equivalent due to changing electric flux.

ID
Displacement current
ε0
Permittivity of free space
ΦE
Electric flux
t
Time
Displacement Current Density
JD=ε0dE/dtJD = ε0 dE/dt

Displacement current per unit area for a uniform changing electric field.

JD
Displacement current density
E
Electric field
t
Time
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Diagrams3

3

Electromagnetic Waves

10 min

Maxwell predicted that changing electric and magnetic fields can sustain each other and travel through space as electromagnetic waves. An electromagnetic wave consists of oscillating electric field and magnetic field that are perpendicular to each other and also perpendicular to the direction of propagation. Hence EM waves are transverse waves. They do not require any material medium and can travel through vacuum. In vacuum their speed is c = 1/√(μ0ε0), equal to approximately 3 × 10⁸ m/s. The electric and magnetic fields are in the same phase, and their amplitudes satisfy E0/B0 = c. All electromagnetic waves obey v = fλ, where f is frequency, λ is wavelength and v is wave speed.

Key points6

  • The electric and magnetic fields of an EM wave are in the same phase.
  • EM waves carry energy and momentum.
  • No material medium is needed for propagation.
  • All EM waves travel at the same speed in vacuum but differ in frequency and wavelength.
  • In a medium, speed is less than c and depends on the medium.
  • The direction of propagation is given by E × B.

Memory tricks2

E-B-Direction: Use E cross B to remember propagation direction.

v = fλ: Wave speed equals how many waves per second times length of each wave.

Examples2

Given Wave Relation Example

If f = 2 Hz and λ = 3 m, then v = fλ = 2 × 3 = 6 m/s.

NEET-Type Numerical

If E0 = 300 V/m in vacuum, then B0 = E0/c = 300/(3 × 10⁸) = 1 × 10⁻⁶ T.

Common mistakes2

Thinking E and B Are Out of Phase

In an EM wave, electric and magnetic fields are in the same phase.

Calling EM Waves Longitudinal

Electromagnetic waves are transverse because fields oscillate perpendicular to propagation.

Reference tables2

Quick revision8

Formulas4

Wave Relation
v=fλv = fλ

f is frequency; λ is wavelength; v is wave speed. Example: v = fλ = 2 × 3 = 6 m/s.

v
Wave speed in m/s
f
Frequency in Hz
λ
Wavelength in m
Speed of Electromagnetic Waves in Vacuum
c=1/√(μ0ε0)c = 1/√(μ0ε0)

Speed of EM waves in free space.

c
Speed of light in vacuum
μ0
Permeability of free space
ε0
Permittivity of free space
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Diagrams3

4

Electromagnetic Spectrum

10 min

The electromagnetic spectrum is the continuous arrangement of electromagnetic waves according to wavelength or frequency. All members are electromagnetic waves and travel with the same speed in vacuum, but they differ in wavelength, frequency, energy, production and applications. In decreasing wavelength order, the spectrum is radio waves, microwaves, infrared rays, visible light, ultraviolet rays, X-rays and gamma rays. Frequency and photon energy increase in the opposite direction. Radio waves are used in broadcasting and communication, microwaves in radar and ovens, infrared in thermal imaging, visible light in vision, ultraviolet in sterilization, X-rays in medical imaging and gamma rays in cancer treatment. NEET frequently asks the correct order and applications.

Key points6

  • All electromagnetic waves have the same speed in vacuum.
  • Radio waves have the longest wavelength and lowest frequency among the listed types.
  • Gamma rays have the shortest wavelength and highest frequency.
  • Visible light occupies only a narrow band of the spectrum.
  • Infrared is emitted strongly by warm bodies.
  • X-rays are produced by sudden deceleration of high-speed electrons, while gamma rays originate from nuclear transitions.

Memory tricks2

Spectrum Mnemonic: Raging Martians Invaded Venus Using X-ray Guns: Radio, Microwave, Infrared, Visible, Ultraviolet, X-ray, Gamma.

Energy Trend: Gamma is greatest energy; Radio is relaxed and lowest energy.

Examples2

Order Example

Correct increasing frequency order is radio, microwave, infrared, visible, ultraviolet, X-rays and gamma rays.

Wavelength Example

If two EM waves are radio and X-rays, radio has much longer wavelength and much lower frequency.

Common mistakes2

Placing Visible Before Infrared

In increasing frequency order, infrared comes before visible and ultraviolet comes after visible.

Thinking X-rays and Gamma Rays Differ Only by Wavelength

They overlap in wavelength sometimes, but typically differ by origin: X-rays from electronic processes and gamma rays from nuclear processes.

Reference tables2

Quick revision8

Formulas3

Wave Relation for Spectrum
c=fλc = fλ

In vacuum, frequency and wavelength of electromagnetic waves are inversely related.

c
Speed of light in vacuum
f
Frequency
λ
Wavelength
Photon Energy Relation
E=hfE = hf

Energy of electromagnetic radiation increases with frequency.

E
Photon energy
h
Planck constant
f
Frequency
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Diagrams3

5

Applications

9 min

Electromagnetic waves are used in daily life, medicine, communication, industry and research according to their wavelength, frequency and penetration ability. Radio waves are used in communication systems such as broadcasting, mobile communication and satellite links. Microwaves are used in radar because they reflect from aircraft and ships, and in microwave ovens because water molecules absorb microwave energy and heat food. Infrared radiation is used in remote controls, thermal imaging and night vision. Ultraviolet rays kill microorganisms and are used for sterilization. X-rays penetrate soft tissues but are absorbed more by bones, making them useful in medical imaging. Gamma rays have very high energy and are used in cancer treatment to destroy malignant cells.

Key points6

  • Microwave ovens heat food mainly by energy absorption in water molecules.
  • Radar detects objects by sending microwaves and receiving reflected waves.
  • Infrared cameras detect heat emitted by bodies.
  • UV rays can damage living cells, so controlled use is necessary.
  • X-ray imaging requires shielding and limited exposure.
  • Gamma rays can kill cancer cells but must be precisely targeted.

Memory tricks2

Application Mapping: Radio talks, Microwave cooks and detects, Infrared heats, UV sterilizes, X-ray images, Gamma treats cancer.

Safety Trend: Higher frequency generally means higher photon energy, so UV, X-rays and gamma rays need more caution.

Examples3

Communication Systems

Radio and microwave signals carry voice, video and data in broadcasting, mobile networks, Wi-Fi and satellite communication.

Medical Applications

X-ray imaging helps observe bones and internal structures, while gamma rays can be focused to destroy cancer cells.

Sterilization Example

UV lamps are used to sterilize water and surfaces because UV radiation damages microorganisms.

Common mistakes3

Mixing Microwave and Infrared Heating

Microwave ovens mainly heat water-containing food internally; infrared heating is surface heat radiation from hot bodies.

Assuming X-rays and Gamma Rays Are Safe Because Useful

Both are ionising radiations and must be used with controlled exposure and shielding.

Forgetting Radio Waves Are EM Waves

Radio waves are electromagnetic waves just like light; they simply have much longer wavelength.

Reference tables2

Quick revision8

Formulas3

Radar Distance Basic Relation
d=ct/2d = ct/2

Distance of an object from radar when reflected signal returns after time t.

d
Distance of object
c
Speed of electromagnetic wave
t
Round-trip time delay
Wave Relation in Applications
c=fλc = fλ

Used to connect frequency and wavelength for EM waves in vacuum or air approximately.

c
Speed of light
f
Frequency
λ
Wavelength
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Diagrams4

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NEET PYQs from Electromagnetic Waves

The latest 3 of 30 previous-year questions from this chapter.

  1. NEET 2026Set 50EasyQ1

    The following table presents the part of the electromagnetic spectrum and their corresponding major applications. Part of the electromagnetic spectrum: P. Microwave Q. UV rays R. Gamma rays S. Radio wave Applications: I. For purifying the water II. For warming the food III. For AM and FM communication systems IV. For treating the Cancer cells The correct option is:

    • AP-I, Q-II, R-III, S-IV
    • BP-I, Q-IV, R-II, S-III
    • CP-II, Q-I, R-IV, S-III
    • DP-II, Q-IV, R-III, S-I
  2. NEET 2026Set 50MediumQ2

    An electromagnetic wave travelling in a lossless dielectric medium having a dielectric constant, $\varepsilon_r = 9$, has the electric field, $E_x = E_0\sin(kz - 2\pi \times 10^6 t)\ \mathrm{Vm^{-1}}$ where $E_0$ is the amplitude and $k$ is the wave vector. Among the following options, the incorrect choice is

    • AThe speed of the electromagnetic wave inside the medium is $10^8\ \mathrm{ms^{-1}}$
    • BThe wavelength of the electromagnetic wave inside the medium is $300\ \mathrm{m}$
    • CThe magnetic field is given by the relation $B_y = \frac{B_0}{v}\sin(kz - 2\pi \times 10^6 t)$ where $v$ is the speed of the electromagnetic wave inside the medium
    • DThe direction of propagation of the electromagnetic wave is along $+z$
  3. NEET 2026Set 11EasyQ3

    Match List-I with List-II: Choose the correct answer from the options given below:

    • AA–III, B–I, C–II, D–IV
    • BA–III, B–IV, C–I, D–II
    • CA–IV, B–I, C–II, D–III
    • DA–IV, B–III, C–II, D–I

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