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James Clerk Maxwell

James Maxwell was one of the most prolific mathematicians of his time. He made huge leaps in applied mathematics with his creation of four differential equations to describe the relationships of electricity and magnetism. These equations form the basis for our wireless technologies. Maxwell is known first and foremost as a physicist, yet it is his application of mathematical equations to explain complicated physical events which has helped define the universe as we understand it today. He not only extended the field of mathematics through his four main equations, but he also invented a totally new factor, the curl, which is used in vector calculus. Furthermore Maxwell is also the inventor of equations of thermodynamics and the kinetic theory of gases which are still used today.

James Clerk Maxwell was born in Edinburgh Scotland on June 13, 1831. Maxwell was born with a natural curiosity that stayed with him through out his life; this is easily seen through a letter written by Maxwell’s father speaking about him at the age of three.

He is a very happy man, and has improved much since the weather got moderate ; he has great work with doors, locks, keys etc., and “Show me how it doos’” is never out of his mouth. He also inve

. . .
The relations between and , and between and , are called constitutive equations; they describe the medium. So,

(32a, b, c)

We obtain another similar equation from the Gibbs free energy,

(33)

which becomes, using Equations 16a and 16b,

(34a, b, c)

There are two more Maxwell's equations from dU and dH, but these are not as useful as the ones just derived.

His particular gift was the ability to see phenomena in terms of relationships which could be defined by equations, if necessary abandoning a physical analogy. THIS CHANGE IN THE CONCEPTION OF REALITY IS THE MOST PROFOUND AND THE MOST FRUITFUL THAT PHYSICS HAS EXPERIENCED SINCE THE TIME OF NEWTON" ALBERT EINSTEIN

"FROM A LONG VIEW OF THE HISTORY OF MANKIND - SEEN FROM, SAY, TEN THOUSAND YEARS FROM NOW - THERE CAN BE LITTLE DOUBT THAT THE MOST SIGNIFICANT EVENT OF THE 19TH CENTURY WILL BE JUDGED AS MAXWELL'S DISCOVERY OF THE LAWS OF ELECTRODYNAMICS"

RICHARD P FEYNMAN

"MAXWELL'S IMPORTANCE IN THE HISTORY OF SCIENTIFIC THOUGHT IS COMPARABLE TO EINSTEIN'S (WHOM HE INSPIRED) AND TO NEWTON'S (WHOSE INFLUENCE HE CURTAILED)"

IVAN TOLSTOY, BIOGRAPHER OF MAXWELL

"WE HAVE STRONG REASON TO CONCLUDE THAT LIGHT

ITSELF - INCLUDING RADIANT HEAT AND OTHER RADIATION, IF ANY - IS AN ELECTROMAGNETIC DISTURBANCE IN THE FORM OF WAVES PROPAGATED THROUGH THE ELECTRO-MAGNETIC FIELD ACCORDING

TO ELECTRO-MAGNETIC LAWS"

Maxwell, 1864, before the Royal Society of London in 'A Dynamic

Theory of the Electro-Magnetic Field'

"THIS PAPER IS THE FIRST POINTER TO THE EXISTENCE OF RADIATION OTHER THAN LIGHT AND HEAT, AND RANKS AS ONE OF THE GREATEST LEAPS EVER ACHIEVED IN HUMAN THOUGHT"

PROFESSOR R V JONES

Maxwell’s Equation of Electrical and Magnetic Lines of Force

Maxwell's equations (in macroscopic form and MKSA units) are

(Other system units are discussed e. This theory provided the new subject of statistical physics, linking thermodynamics and mechanics, and is still widely used as a model for rarefied gases and plasmas. But that is not all that Maxwell’s four equations did to change the world; by calculating the speed of electromagnetic waves, Maxwell postulated in 1862 that light is a form of electromagnetic radiation exerting pressure and carrying momentum. (6, 3)

These four equations allowed mathematicians and physicists alike to put a quantitative measurement on all forms of light. He made fundamental contributions to the field of thermodynamics with his equations known as the “Maxwell relations”. This explanation was confirmed 124 years later by the Voyager I spacecraft. In this paper he generalized the definition of an ellipse by defining the locus of a point where the sum of m times the distance from one fixed point plus n times the distance from a second fixed point is constant. I believe that Maxwell’s contributions to the world can be summed up by a quote from Max Planck, in which he says, “He (James Maxwell) achieved greatness unequalled”

"SINCE MAXWELL'S TIME, PHYSICAL REALITY HAS BEEN THOUGHT OF AS REPRESENTED BY CONTINUOUS FIELDS, AND NOT CAPABLE OF ANY MECHANICAL INTERPRETATION. Write the combined first and second laws,

(1)

Divide Equation 1 by dV and hold T constant to get,

(35)

Using the Maxwell's Equation, Equation 32c, to substitute for the entropy derivative we obtain,

(36)

Equation 36 is the equation that was written down without proof at the time we were discussing the Joule expansion. ) is the electric field, is the displacement, the permittivity of free space and the polarization.

Common topics in this essay:
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