# Maxwell's Equations

### A Dash of Maxwell’s: A Maxwell’s Equations Primer – Part Two

Maxwell’s Equations are eloquently simple yet excruciatingly complex. Their first statement by James Clerk Maxwell in 1864 heralded the beginning of the age of radio and, one could argue, the age of modern electronics.

### A Dash of Maxwell’s: A Maxwell’s Equations Primer – Part One

Solving Maxwell’s Equations for real-life situations, like predicting the RF emissions from a cell tower, requires more mathematical horsepower than any individual mind can muster. These equations don’t give the scientist or engineer just insight, they are literally the answer to everything RF.

### Maxwell’s Equations Reveal Ideal Location For Wi-Fi Router

Like so many of us, Jason Cole was fed up with the spotty internet...

### Faraday’s Lines of Force and Maxwell’s Theory of the Electromagnetic Field

A note from the Editor: In celebration of the 150th Anniversary of Maxwell’s Equations, we are honored to bring you a chapter from the book The Life of James Clerk Maxwell, the 1882 original biography of James Clerk Maxwell. This chapter, entitled “Faraday’s Lines of Force and Maxwell’s Theory of the Electromagnetic Field,” provides a unique insight to Maxwell’s theory of electromagnetic fields.

### On Maxwell, The Natural Philosopher

James Clerk Maxwell was a man of prodigious and singular gifts, of insight, curiosity...

### Why Do We Derive?

Every time I teach a class I learn something. In this year’s class the...

### A Dash of Maxwell’s: A Maxwell’s Equations Primer – Part 6: The Method of Moments

The Method of Moments has become one of the most powerful tools in the RF engineer’s arsenal. In this chapter, we make the transition from theory to practice, first by attempting to compute the characteristics of a “short dipole” by hand, and then by demonstrating that a computer can do that in just a few seconds.

### A Dash of Maxwell’s: A Maxwell’s Equations Primer – Part 5: Radiation from a Small Wire Element

It is time to put these equations to work by computing the radiation from a simple structure, a short wire element.

### A Dash of Maxwell’s: A Maxwell’s Equations Primer – Part 4: Equations Even a Computer Can Love

In the preceding chapters we have derived Maxwell’s Equations and expressed them in their “integral” and “differential” form. In different ways, both forms lend themselves to a certain intuitive understanding of the nature of electromagnetic fields and waves. In this installment, we will express Maxwell’s Equations in their “computational form,” a form that allows our computers to do the work.

### A Dash of Maxwell’s: A Maxwell’s Equations Primer – Part 3: The Difference a Del Makes

In Chapter 2, I introduced Maxwell’s Equations in their “integral form.” Simple in concept, the integral form can be devilishly difficult to work with. To overcome that, scientists and engineers have evolved a number of different ways to look at the problem, including this, the “differential form of the Equations.” The differential form makes use of vector operations.

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