define maxwell equations and explain with examples?

Question

define maxwell equations and explain with examples?

Answer 1

dude chk these website http://en.wikipedia.org/wiki/Maxwell's_equations



http://hyperphysics.phy-astr.gsu.edu/Hbase/electric/maxeq.html





http://rd11.web.cern.ch/RD11/rkb/PH14pp/node108.html

Answer 2

Define Maxwell

Answer 3

In electromagnetism, Maxwell's equations are a set of four partial differential equations that describe the properties of the electric and magnetic fields and relate them to their sources, charge density and current density. These equations are used to show that light is an electromagnetic wave. Individually, the equations are known as Gauss's law, Gauss's law for magnetism, Faraday's law of induction, and Ampère's law with Maxwell's correction.



These four equations, together with the Lorentz force law are the complete set of laws of classical electromagnetism. The Lorentz force law itself was actually derived by Maxwell under the name of "Equation for Electromotive Force" and was one of an earlier set of eight Maxwell's equations.

Answer 4

gradient divergence and curl are all differential operators. gradients act on scalar fields and yield a vector container, divergences act on vector fields and supply a scalar container, curls act on vector fields and yield vector fields. they could all be actual defined if u use the del operator, this is a ficticious vector created from differential operators. extremely it is not any longer a vector because of the fact it would not remodel as one and has no path or fee, yet while coupled with vector operations this is sensible. (by utilising the way, the d/dx and so on and so on are partial derivatives, no longer entire derivs...i dont understand a thank you to apply curled d's in solutions.) the gradient of a scalar f is written del(f) the place you needed multiply the del vector by utilising the scalar function f as though it the place a scalar situations a vector written out this is df/dxi +df/dyj and so on and so on. it is intuitive definition is the path wherein the scalar container is increasing the main and its fee is the value of replace with admire to that path. the divergence is del * V the place v is a vector container and * denotes inner product. so del*V is d/dxVx +d/dyVy and so on and so on the place Vx is the x compenent of the sector. it is intuitive defintion is to diploma the diploma to which the vector container "spreads out" at a factor, or greater fastidiously, the flux with the aid of a closed floor because of the fact the quantity of the exterior has a tendency to 0. you will discover that a favorable fee for this calculation ability the sector is spreading removed from the factor, no remember if this is damaging you have a CONVERGENCE wherein the sector "concentrates" at that factor. finally, the curl is defined as del X V the place X denotes the outer or go product. I won't complication scripting this one out because of the fact it comprises the determinant of the matrix shaped with aspects of our del operator and the vector container. this is a diploma of ways plenty the sector "rotates" around a given factor. an occasion could be for a stress container, this could diploma the torque on the factor or a velocity container could diploma the angular velocity on the factor (two times the angular velocity to be appropriate, yet thats a element) desire THIS helps! to derive the wave equation, a tip could be to take the curl of faraday's regulation (this is a double curl operation so which you will could desire to look up a thank you to amplify it)

Answer 5

In electromagnetism, Maxwell's equations are a set of four partial differential equations that describe the properties of the electric and magnetic fields and relate them to their sources, charge density and current density. These equations are used to show that light is an electromagnetic wave. Individually, the equations are known as Gauss's law, Gauss's law for magnetism, Faraday's law of induction, and Ampère's law with Maxwell's correction.



These four equations, together with the Lorentz force law are the complete set of laws of classical electromagnetism. The Lorentz force law itself was actually derived by Maxwell under the name of "Equation for Electromotive Force" and was one of an earlier set of eight Maxwell's equations . gauss law describes how electric charge can create and alter electric fields. In particular, electric fields tend to point away from positive charges, and towards negative charges. Gauss's law is the primary explanation of why opposite charges attract, and like repel: The charges create certain electric fields, which other charges then respond to via an electric force.

Gauss's law for magnetism states that magnetism is unlike electricity in that there are not distinct "north pole" and "south pole" particles (such particles, which exist in theory only, would be called magnetic monopoles) that attract and repel the way positive and negative charges do. Instead, north poles and south poles necessarily come as pairs (magnetic dipoles). In particular, unlike the electric field which tends to point away from positive charges and towards negative charges, magnetic field lines always come in loops, for example pointing away from the north pole outside of a bar magnet but towards it inside the magnet.



An Wang's magnetic core memory (1954) is an application of Ampere's law. Each core is one bit.Faraday's law of induction describes how a changing magnetic field can create an electric field. This is, for example, the operating principle behind many electric generators: Mechanical force (such as the force of water falling through a hydroelectric dam) spins a huge magnet, and the changing magnetic field creates an electric field which drives electricity through the power grid.

Ampère's law with Maxwell's correction states that magnetic fields can be generated in two ways: By electrical current (this was the original "Ampère's law") and by changing electric fields. The idea that a magnetic field can be induced by a changing electric field follows from the modern concept of displacement current which was introduced to maintain the solenoidal nature of Ampère's law in a vacuum capacitor circuit. This modern displacement current concept has the same mathematical form as Maxwell's original displacement current. Maxwell's original displacement current applies to polarization current in a dielectric medium and it sits adjacent to the modern displacement current in Ampère's law.