2. Key Concepts
Electric & Magnetic Fields: Has fundamental forces responsible for
electrical and magnetic interactions.
Electromagnetic Waves: Oscillating electric and magnetic fields that
propagate through space.
High-Frequency Effects: “As frequency increases, wavelength decreases”
Wavelength formula:
Electromagnetic waves propagate at the speed of light (c ≈ 3.00 × 10⁸
m/s) in free space.
3. Electromagnetic Spectrum
The RANGE of all possible frequencies of electromagnetic waves,
spanning from DC (0 Hz) to at least 10² Hz
⁰ .
At DC (0 Hz), electromagnetics is divided into:
Electrostatics: Study of stationary electric fields.
Magnetostatics: Study of stationary magnetic fields.
At higher frequencies, electric and magnetic fields interact to form
propagating waves.
6. NOTABLE REGIONS: (visible light spectrum)
Color Frequency Wavelength
Violet 668–789 THz 450–380 nm
Blue 606–668 THz 495–450 nm
Green 526–606 THz 570–495 nm
Yellow 508–526 THz 590–570 nm
Orange 484–508 THz 620–590 nm
Red 400–484 THz 750–620 nm
7. Fundamentals of Waves
two primary types of waves:
transverse waves: Particles in the medium move
perpendicular to the direction of the wave propagation,
creating crests and troughs.
longitudinal waves: Particles in the medium move parallel
to the direction of the wave propagation, creating
compressions and rarefactions. Example: sound waves.
8. Fields and Electric Field Intensity
Definition of a Field
A field is a continuum of values of a quantity as a function of
position and time.
Fields can be:
Scalar fields: ex. electric potential (F).
Vector fields: ex. electric field intensity (E) (X, Y, Z)
10. Electric Potential Difference
Voltage (electric potential difference) is defined as energy per
unit charge:
WORK = FORCE (same unit “Joules”)
BUT, it depends on their fields
12. Electric Field Due To A Point Charge
The electric field due to a point charge (E) at a distance (R) in free space or any uniform medium is
given by:
13. Unit vector pointing radially outward from the
charge
The unit vector pointing radially outward from a point charge is
given by:
14. Electric Flux
The integral of the electric field over a surface gives the flux
or
15. Electric Flux Density
Is an alternative way to describe an electric field,
particularly useful in materials with varying permittivity
16. PERMITTIVITY
Permittivity of Free Space
The permittivity of a vacuum is a fundamental constant:
Air has a permittivity close to free space permitivitty and is often
approximated as such in calculations.
18. Dielectric constant
Dielectric constant is another name for relative permittivity
The term “dielectric constant” is misleading because permittivity is
relevant even for non-dielectric materials.