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Revision: Electromagnetic Waves >> Electromagnetic Waves Physics Science (English Medium) Class 12 CBSE

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Definitions [6]

Definition: Electromagnetic Waves

Electromagnetic waves are self-propagating transverse waves consisting of oscillating electric and magnetic fields that do not require a medium for propagation.

Definition: Electromagnetic Spectrum

The whole range of frequencies/wavelengths of electromagnetic waves arranged in ascending or descending order is known as the electromagnetic spectrum.

Definition: Displacement Current

The current that exists at any point in space where a time-varying electric field (E) exists, i.e., \[\frac {dE}{dt}\] ≠ 0, is called displacement current (iₐ).

Definition: Electromagnetic Spectrum

The whole range of frequencies/wavelengths of the electromagnetic waves arranged in ascending or descending order is known as the electromagnetic spectrum.

Definition: Invisible Spectrum

The part of the spectrum beyond the red extreme and the violet extreme is called the invisible spectrum.

Definition: Visible Spectrum

Electromagnetic waves have a wide range of frequencies and wavelengths. We can see only a small portion of the electromagnetic spectrum, which is known as the visible spectrum.

Formulae [1]

Formula: Displacement Current Condition

\[\frac {dE}{dt}\] ≠ 0 ⇒ id​ exists

Theorems and Laws [1]

Ampere-Maxwell Circuital Law

\[\oint_c\vec{B}\cdot d\vec{l}=\mu_0I_c+\varepsilon_0\mu_0\frac{d\Phi_E}{dt}\]

This equation states that not only the current but also the changing electric field produces a changing magnetic field. This equation is known as the Ampere-Maxwell Circuital Law.

Key Points

Key Points: Electromagnetic Waves
  • EM waves are transverse
  • E ⟂ B ⟂ direction of propagation
  • E and B are in phase
  • Speed:
    \[c=\frac{1}{\sqrt{\mu_0\varepsilon_0}}=3\times10^8\mathrm{m/s}\]
  • Poynting Vector:
    \[\vec{S}=\frac{\vec{E}\times\vec{B}}{\mu_{0}}\]
  • Intensity:
    \[I=\frac{1}{2}c\varepsilon_0E_0^2\]

Key Points: Sources of Electromagnetic Waves
  1. Only accelerating charges radiate electromagnetic waves
  2. An oscillating charge is a practical example of an accelerating charge
  3. The wave frequency equals the oscillation frequency of the source charge
  4. Energy of the wave is supplied by the source (oscillating charge)
  5. Modern circuits max out at ~1011 Hz — far below visible light frequencies (~6 × 1014 Hz)
  6. Early EM wave experiments were conducted in the radio-wave region due to this limitation
  7. Hertz → radio waves; Bose → short wavelength waves; Marconi → long-distance EM communication
Key Points:
  • Electric and magnetic fields in an electromagnetic wave are perpendicular to each other.
  • Both fields are perpendicular to the direction of propagation.
  • Electromagnetic waves are self-sustaining oscillations in a vacuum.
  • No material medium is required for their propagation.
  • In a vacuum, their speed is 3 × 108 m/s.
  • In a material medium, velocity is \[\frac {1}{\sqrt {με}}\].
  • Radio, TV signals, and light are important examples of energy transfer by electromagnetic waves.
Key Points: Electromagnetic Spectrum
  • The electromagnetic spectrum is the complete range of electromagnetic radiation.
  • Order of EM waves: Radio → Microwave → Infrared → Visible → Ultraviolet → X-ray → Gamma.
  • All EM waves travel at the speed 3 × 108 m/s in a vacuum.
  • Frequency increases from radio waves to gamma rays.
  • Wavelength decreases from radio waves to gamma rays.
  • Visible light is only a small part of the full spectrum.

Important Questions [42]

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