### Unveiling the Magnetic Force Between Parallel Conductors

Explore the practical and theoretical significance of understanding the magnetic force between parallel conductors, crucial for electromagnetism and modern technology.

Explore the practical and theoretical significance of understanding the magnetic force between parallel conductors, crucial for electromagnetism and modern technology.

Published
in
Electrodynamics /
Magnetostatics /
Currents and Magnetic Fields

Tags: Superposition Principle

Tags: Superposition Principle

What happens if we take a wire, drill a hole in it and set some current in motion? Will we encounter a magnetic field?

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in
Electrodynamics /
Magnetostatics /
Currents and Magnetic Fields

Tags: Rotational Symmetry / Cylindrical Coordinates / Ampere's law / Stoke's theorem / Biot-Savart's law

Tags: Rotational Symmetry / Cylindrical Coordinates / Ampere's law / Stoke's theorem / Biot-Savart's law

The magnetic field of a thin and infinitely long wire is calculated using Biot-Savart's law.

Published
in
Electrodynamics /
Magnetostatics /
Currents and Magnetic Fields

Tags: Rotational Symmetry / Cylindrical Coordinates / Ampere's law / Stoke's theorem / Biot-Savart's law

Tags: Rotational Symmetry / Cylindrical Coordinates / Ampere's law / Stoke's theorem / Biot-Savart's law

We calculate the magnetic field of a wire with constant current. Using symmetries we verify the right-hand rule.

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in
Electrodynamics /
Magnetostatics /
Currents and Magnetic Fields

Tags: Rotational Symmetry / Cylindrical Coordinates

Tags: Rotational Symmetry / Cylindrical Coordinates

The magnetic field for a current distribution in form of a cylinder shell is determined.

Published
in
Electrodynamics /
Magnetostatics /
Currents and Magnetic Fields

Tags: Biot-Savart's law / Taylor Expansion

Tags: Biot-Savart's law / Taylor Expansion

Helmholtz coils are a devices that can provide a very homogeneous magnetic field. Let's find an approximation for their magnetic field!

Through physical reasoning we find that the spin of the electron cannot be explained by a classical rotation.

The Proca-formulation of electrodynamics allows to account for a hypothetical massive photon. This formulation is formally equivalent to the London theory of superconductivity

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in
Electrodynamics /
Magnetostatics /
Magnetic Fields in Matter

Tags: Magnetostatic Potential / Legendre Polynomials / Boundary Conditions

Tags: Magnetostatic Potential / Legendre Polynomials / Boundary Conditions

Using the magnetostatic potential can be extremely useful to calculate magnetostatic problems. In this example we use it to derive the magnetic field of a sphere with surface current.