Tag Archive for: electromagnetism

The Poor Man’s Milli-Ohm Meter
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Introduction
In a previous article on measuring battery internal resistance, a simple technique for low-resistance measurement was outlined. In this article,…

A Physics Misconception with Gauss’ Law
Introduction
It is relatively common to see the following type of argument:
The surface area is ##A## and the enclosed charge is ##Q##. The electric…

How to Model a Magnet Falling Through a Conducting Pipe
Introduction
In an earlier article, we examined a magnet falling through a solenoid. We argued that the point dipole model can account for the basic features…

How to Model a Magnet Falling Through a Solenoid
Introduction
Modeling a magnet realistically is a task best done numerically. Even the simplified model of two separated disks with uniform surface…

Symmetry Arguments and the Infinite Wire with a Current
Many people reading this will be familiar with symmetry arguments related to the use of Gauss law. Finding the electric field around a spherically symmetric…

Building a Numerical FEM Solver for Duality in EM Fields
In the previous insights article (How to Use Duality in Computational Electromagnetic Problems), I covered some uniqueness theorems for the Riemann-Silberstein…

How to Use Duality in Computational Electromagnetic Problems
Some weeks ago I happened across a post that caught my eye. Dale asked a question about the number of photons in an electromagnetic field. His question…

Es vs Em Fields in Electrodynamics: Capacitor & Antenna
Abstract
The analysis of the two kinds of electric fields, namely the irrotational and non-conservative, is extended to electrodynamics, as exemplified…

Are Electromagnetic Waves Always Transverse? Full Explanation
Electromagnetic (EM) waves are always transverse in the weak sense: the electric field (E) and magnetic field (B) are always perpendicular to the direction…

How to Recognize Split Electric Fields
Introduction
In a previous Insight, A New Interpretation of Dr. Walter Lewin’s Paradox, I introduced the fact that there are two kinds of E fields. …

Relativistic Treatment of the DC Conducting Straight Wire
Introduction
The direct-current-conducting infinitely long wire is often discussed in the context of relativistic electrodynamics. It is of course a completely…

Maxwell’s Equations in Magnetostatics and Solving with the Curl Operator
Introduction:
Maxwell's equation in differential form ## \nabla \times \vec{B}=\mu_o \vec{J}_{total}+\mu_o \epsilon_o \dot{\vec{E}} ## with ## \dot{\vec{E}}=0…

What is the Double Slit? A 5 Minute Introduction
Definition/Summary
The double-slit is a simple configuration used to demonstrate interference effects in waves.Equations
At distances that are…

Are Magnetic Field Lines Real?
Introduction
We recently had a question in the relativity forums that mentioned the behavior of magnetic field lines and reminded me of my confusion at…

Lewin’s Circuit Paradox: Distinguishing E_s and E_m
Introduction
Much has lately been said regarding this paradox that first appeared in one of W. Lewin's MIT lecture series on YouTube (see References [1]).…

Permanent Magnets Explained by Magnetic Surface Currents
Introduction:
The purpose of this Insight is to explain permanent magnets in a way that is in agreement with advanced textbooks on the subject, and that…

Mathematics of Acoustic Beats: Explanation & Examples
Introduction
Purpose and scope
In late high school physics courses and first-year university courses, the phenomenon of acoustical 'beats' (digital audio)…

Learn About Energy Gained by Charge in an Electrostatic Field
Energy gain of an electron in a potential V
I have seen this question being asked frequently on here. A lot of students have a bit of an issue in understanding…

Mutual Inductance: When k≠1 and Two Coupling Coefficients
Mutual inductance and the coupling coefficient
A commonly used formula for mutual inductance M between two nearby coils L1 and L2 is M = k√(L1*L2).…
