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Contents

Electromagnetic Theory

Vector Analysis

Cartesian Coordinate System Cylindrical Coordinate System Spherical Coordinate System Vector Addition and Subtraction Dot Product Cross Product Scalar Triple Product Gradient Divergence Curl Laplacian Operator Divergence Theorem Stokes Theorem Helmholtz Theorem

Electrostatics

Coulomb Law Electric Field Intensity Electric Field of Line Charge Electric Field of Surface Charge Electric Flux Density Gauss Law Gauss Law Applications Electric Potential Potential and Field Relationship Electric Dipole Polarization Boundary Conditions Electrostatics Capacitance Energy Stored in Electric Field Poisson and Laplace Equations

Magnetostatics

Biot-Savart Law Magnetic Field of Infinite Wire Magnetic Field of Circular Loop Ampere Circuital Law Ampere Law Applications Magnetic Flux Density Magnetic Force on Current Lorentz Force Magnetic Materials Boundary Conditions Magnetostatics Inductance Inductance Calculations Magnetic Energy

Maxwell Equations

Faraday Law of Induction Lenz Law Displacement Current Maxwell Equations Integral Form Maxwell Equations Differential Form Maxwell Equations in Phasor Form Boundary Conditions General

Wave Propagation

Wave Equation Derivation Uniform Plane Wave Phase Velocity and Wavelength Intrinsic Impedance Poynting Vector and Power Flow Wave Propagation in Lossy Media Skin Effect Linear Polarization Circular Polarization Elliptical Polarization Reflection at Normal Incidence Reflection at Oblique Incidence Total Internal Reflection

Transmission Lines

Transmission Line Parameters Transmission Line Equations Characteristic Impedance Reflection Coefficient VSWR Input Impedance of TL Lossless Transmission Line Quarter Wave Transformer Smith Chart Basics Smith Chart Applications Single Stub Matching Double Stub Matching

Antennas

Antenna Fundamentals Radiation Pattern Antenna Parameters Hertzian Dipole Half Wave Dipole Quarter Wave Monopole Antenna Arrays Friis Transmission Equation Yagi-Uda Antenna Parabolic Reflector Antenna

Other Topics

Other Subjects

Analog Electronics Digital Electronics Signals & Systems Control Systems Digital Communication Analog Communication Network Analysis Microprocessors VLSI Design Verilog HDL Power Electronics Embedded Systems DSP Electronic Devices

Section Progress23%

3 of 13 articles

Phase Velocity and Wavelength

v = omega/beta = 1/sqrt(mu*epsilon), lambda = 2*pi/beta.

Updated: 19 March 2026

10 min read

#Electromagnetics

Wave Velocity Basics

Compute phase velocity and spatial periods.

Question 1 of 3

Q1.How is the phase velocity (vp) mathematically determined from the propagation parameters of a wave?

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Skin Effect

Current concentration at surface, skin depth delta.

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Total Internal Reflection

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Uniform Plane Wave

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