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Radiation of an Electron on a Radial Path: The Larmor Formula cover

Radiation of an Electron on a Radial Path: The Larmor Formula

Published in Electrodynamics / Full Electrodynamics / Radiation and Antennas
Tags: Far Field / Larmor formula / Synchrotron Radiation

Explore the transition from classical to quantum physics through the radiation of an electron in circular motion, deriving the power radiated and its implications for particle physics and technology.

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A charge moving at relativistic velocity through a uniform magnetic field cover

A charge moving at relativistic velocity through a uniform magnetic field

Published in Electrodynamics / Full Electrodynamics / Relativistic Electrodynamics
Tags: Lorentz force / Synchrotron Radiation

A charge moving through a magnetic field experiences a perpendicular force due to the Lorentz force.

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Array Factor and Array Pattern of a Phased Antenna Array cover

Array Factor and Array Pattern of a Phased Antenna Array

Published in Electrodynamics / Full Electrodynamics / Radiation and Antennas
Tags: Far Field / Radiation pattern

Antenna arrays are an important class of antennas which are widely used in point to point communication systems, where a very high directive beam of radiation is needed.

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The Finite Dipole Antenna - small, half-wavelength and larger cover

The Finite Dipole Antenna - small, half-wavelength and larger

Published in Electrodynamics / Full Electrodynamics / Radiation and Antennas
Tags: Far Field / Directivity / Poynting Vector / Dipole / Radiation pattern

One of the most widely used antennas in telecommunication is the dipole antenna. In this problem, we investigate the radiation properties of such an antenna.

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The Infinitesimal Dipole - Radiation Pattern, Directivity and all that cover

The Infinitesimal Dipole - Radiation Pattern, Directivity and all that

Published in Electrodynamics / Full Electrodynamics / Radiation and Antennas
Tags: Far Field / Directivity / Poynting Vector / Dipole / Helmholtz equation / Radiation pattern

In this problem we first investigate the radiation properties of a very short and thin filament of current.

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Drude model: Deriving the Conductivity and Permittivity of Metals cover

Drude model: Deriving the Conductivity and Permittivity of Metals

Published in Electrodynamics / Full Electrodynamics / Light-Matter-Interactions
Tags: Plasma Frequency / Ohm's law / Permittivity

The Drude model explains the electrodynamic properties of metals. The simple approach is to regard the conduction band electrons as non-interacting electron gas.

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How the Gauge Invariance of the Action implies Charge Conservation cover

How the Gauge Invariance of the Action implies Charge Conservation

Published in Electrodynamics / Full Electrodynamics / Relativistic Electrodynamics
Tags: Gauge Invariance / Charge Conservation / Noether's theorem

Usually, gauge transformations are used to simplify certain calculations. In this problem, we want to use them to derive charge conservation from the invariance of the action S.

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Lorentz Invariance of the Four-Potential cover

Lorentz Invariance of the Four-Potential

Published in Electrodynamics / Full Electrodynamics / Relativistic Electrodynamics
Tags: Lorentz Invariance

Lorentz invariance is at the core of any (special) relativistic theory. Sometimes, however, we encounter expressions that seem to transform in a wrong way. This is especially true for the four-potential calculated from the retarded four-current. Find out why the four-potential is indeed Lorentz invariant!

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Radiation of Two Dipole Antennas cover

Radiation of Two Dipole Antennas

Published in Electrodynamics / Full Electrodynamics / Radiation and Antennas
Tags: Directivity / Poynting Vector / Dipole / Superposition Principle

The simplest form of an antenna array are two short dipole antennas. In this problem you will learn how a phase difference between the currents of both antennas affects their combined radiation pattern.

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An Alternative Lagrangian for Electrodynamics cover

An Alternative Lagrangian for Electrodynamics

Published in Electrodynamics / Full Electrodynamics / Relativistic Electrodynamics
Tags: Lagrangian / Special Relativitity / Equations of Motion

An alternative Lagrangian for electrodynamics is be shown to be applicable.

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