# How is maxwells first equation related to gausss theorem Law

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### Maxwell’s Equations: Application of Stokes and Gauss’ theorem

3 hours ago People.math.osu.edu Show details

Equation (4) is Gausslaw in diﬀerential form, and is ﬁrst of Maxwell’s four equations. 2. GaussLaw for magnetic fields in differential form We learn in Physics, for a magetic ﬁeld B, the magnetic ﬂux through any closed surface is zero because there is no such thing as a magnetic charge (i.e. monopole).

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### Lecture: Maxwell’s Equations Fermilab

6 hours ago Uspas.fnal.gov Show details

－Introduction to Maxwell’s Equations • Sources of electromagnetic fields • Differential form of Maxwell’s equation • Stokes’ and Gausslaw to derive integral form of Maxwell’s equation • Some clarifications on all four equations • Time-varying fields wave equation • Example: Plane wave － Phase and Group Velocity

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### Maxwell’s Electromagnetic Field Equation No. 1

9 hours ago Mypages.iit.edu Show details

Maxwell’s first equation is based on Gausslaw of electrostatics published in 1832, wherein Gauss established the relationship between static electric charges and their accompanying static fields. The above integral equation states that the electric flux through a closed surface area is equal to the total charge enclosed.

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### GAUSS LAWMAXWELL’S EQUATION

1 hours ago Opencourses.emu.edu.tr Show details

This is the first of the four Maxwell’s equations to be derived. This equation states that the divergence of the electric flux density is equal to the volume charge density. Note that; 1) Gauss Law is the alternative statement of the Coulomb’s Law. 2) Gauss Law provides an easy means of finding . E. and D for the for symmetrical charge

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### (Maxwell’s Equations) Lecture 10

9 hours ago Physics.unm.edu Show details

Maxwell’s EquationsGauss’s Law for E-Field • Gauss’s Law for B-Field • Ampere’s Law • Faraday’s Law + q r • We can rewrite Ampere’s Law using Stokes’ Theorem: Back to Maxwell’s Equations • We have: • Then, take the curl of both sides: Back to Maxwell’s Equations • We can now do the same thing with

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### Electromagnetism and Maxwell’s Equations

3 hours ago People.bu.edu Show details

1. is the electric field. For every point (x,y,z,t) in spacetime, the electric field specifies a vector (Ex(x,y,z,t),Ey(x,y,z,t),Ez(x,y,z,t)). is the magnetic field. For every point (x,y,z,t) in spacetime, the magnetic field specifies a vector (Bx(x,y,z,t),By(x,y,z,t),Bz(x,y,z,t)). is the unit normal vector to a surface, S; is the unit tangent vector to a curve, C. Lorentz’s law of force for electromagnetism specifies the force acting on a particle with charge q and velocity v due to electric and magnetic fields (it is akin to ): . ε0is the constant of permativity for the vacuum, which indicates how efficiently the electric field propogates through a vacuum. μ0is the constant of permeability for the vacuum, which indicates how efficiently the magnetic field propogates through a vacuum. Coulomb’s Law presupposes a field-generating charge q1 and a test charge q2separated by a distance r. Ampere’s Law presupposes two parallel wires separated by a distance r carrying currents I1 and I2. Cu...

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### Are the Maxwell's equations enough to derive the law of

2 hours ago Physics.stackexchange.com Show details

The short answer is yes, and in fact you only need one single Maxwell equation, Gauss's law, together with the Lorentz force, to get Coulomb's law. More specifically, you need Gauss's law in its integral form, which is equivalent to the differential form for well-behaved fields because of Gauss's theorem .

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### Maxwell’s Equations University of Delaware

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Maxwell’s Equations Vector Theorems Constitutive Relationships Introduction Maxwell’s equations are amacroscopictheory. We can ignore the atomic structure of matter if Linear dimensions much greater than atomic dimensions. Charges much greater then electronic charge. We use mksc units, that is mThe meter, a unit of length, kgThe kilogram, a

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### Gauss’s Law for Magnetic Fields — Electromagnetic Geophysics

6 hours ago Em.geosci.xyz Show details

Gauss’s law for magnetic fields in the differential form can be derived using the divergence theorem. The divergence theorem states: ∫ V ( ∇ ⋅ f) d v = ∮ S f ⋅ d a, where f is a vector. The right-hand side looks very similar to Equation (48). Using the divergence theorem, Equation (48) is rewritten as follows: (49) ¶.

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### Gauss’s Law for Electric Fields — Electromagnetic Geophysics

6 hours ago Em.geosci.xyz Show details

Gauss’s law for the electric field describes the static electric field generated by a distribution of electric charges. It states that the electric flux through any closed surface is proportional to the total electric charge enclosed by this surface. By convention, a positive electric charge generates a positive electric field.

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### Maxwell's Equations Gauss's Electric Field Law

7 hours ago Myelectrical.com Show details

1. The first term tells us to take the surface integral of the dot product between electric vector (E in V/m) and a unit vector (n) normal to the surface. The dot product gives the electrical field normal to the surface and the integral the total electric flux () passing through the surface. The second term is the net charge (qin Coulombs) enclosed within the surface (divided by a constant of proportionality 1/ε0). Together both these terms define the law in mathematical concepts. By knowing an electric flux distribution through a surface, we can find the charge contained by the surface. Conversely knowing the charge contained within a surface, the electric flux passing through the surface can be determined.

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### Maxwells first and second equations and their derivation

1 hours ago Winnerscience.com Show details

Maxwell’s first equation or Gauss’s law in electrostatics. Statement. It states that the total electric flux φ E passing through a closed hypothetical surface is equal to 1/ε 0 times the net charge enclosed by the surface: Φ E =∫E.dS=q/ε 0. ∫D.dS=q. where D=ε 0 E= Displacement vector. Let the charge be distributed over a volume V

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### The Mathematical Theory of Maxwell’s Equations

9 hours ago Math.kit.edu Show details

• Ampere’s Law describes the eﬀect of the current (external and induced) on the mag-netic ﬁeld. • Gauss’ Electric Law describes the sources of the electric displacement. • The forth law states that there are no magnetic currents. • Maxwell’s equations imply the existence of electromagnetic waves (as ligh, X-rays, etc)

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### Interpretation of Gauss's theorem applied to Maxwell's

2 hours ago Physics.stackexchange.com Show details

Using Maxwell's equations and Gauss's theorem, we get $$\dfrac{d}{dt} \int \rho \ dV + \int \mathbf{j} \cdot \mathbf{n} \ dS = 0,$$ where $\rho$ is the electric charge density and $\mathbf{j}$ is the electric current density.. Therefore, we have that

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### Maxwell’s Equations: Gauss’ Law, Faraday’s Law, and Ampere

2 hours ago Elprocus.com Show details

Maxwell’s Equations: GaussLaw, Faraday’s Law, and Ampere’s Law The Maxwell’s equations were published by the scientist “ James Clerk Maxwell ” in the year 1860. These equations tell how charged atoms or elements provide electric force as well as a magnetic force for each unit charge.

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### Maxwell’s Equations: Maxwell’s 4 Equations And Their

5 hours ago Byjus.com Show details

Maxwell was the first person to calculate the speed of propagation of electromagnetic waves which was same as the speed of light and came to the conclusion that EM waves and visible light are similar.. These are the set of partial differential equations that form the foundation of classical electrodynamics, electric circuits and classical optics along with Lorentz force law.

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### How can Green's Theorem be used to derive Maxwell's equations?

8 hours ago Math.stackexchange.com Show details

Stoke's theorem which states that $$\iint_S \vec{F}\cdot \hat{n}\,dA=\int_{\partial S}\vec{F}\,d\vec{l}$$ and Gauss's theorem $$\iiint_V \text{div}{F} \,dA=\iint_{\partial V} \vec{F}\hat{n}dS$$ can be used to go from differential form to integral form of Maxwell's equations and Gauss's law can be used to derive the first and second Maxwell

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### Maxwell Equations Explained: Gauss Law Of Electricity

3 hours ago Circuitdigest.com Show details

The above equation is the differential form of Gauss Law or Maxwell equation I. In the above equation, ρ represents the Volume charge density. When we have to apply the Gauss law to a surface with a line charge or surface charge distribution, it is more convenient to represent the equation with charge density.

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### Physical Significance Maxwell Equation Assignment Help

6 hours ago Tutorhelpdesk.com Show details

By means of Gauss and Stoke’s theorem we can put the field equations in integral form of hence obtain their physical significance. 1. Maxwell’s first equation is ∇. D = ρ. Integrating this over an arbitrary volume V we get. ∫v ∇.D dV = ∫v ρ dV. But from Gauss Theorem, we get. ∫s …

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### Gauss’ Law University of Tennessee

3 hours ago Phys.utk.edu Show details

GaussLaw The result for a single charge can be extended to systems consisting of more than one charge Φ = ∑ i E q i 0 1 ε One repeats the calculation for each of the charges enclosed by the surface and then sum the individual fluxes GaussLaw relates the flux through a closed surface to charge within that surface

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### Divergence Theorem & Maxwell’s First Equation

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Divergence Theorem & Maxwell’s First Equation 1. Name :- Smit Shah -140410109096 S.Y electrical 2 Sem 4 Subject:-FT Topic :- 2. Divergence of a vector The divergence of vector field A at a point is the net outward flux of A per unit volume as the volume about the point to zero. 3.

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### Maxwell's equations Wikipedia

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Maxwell's equations are a set of coupled partial differential equations that, together with the Lorentz force law, form the foundation of classical electromagnetism, classical optics, and electric circuits.The equations provide a mathematical model for electric, optical, and radio technologies, such as power generation, electric motors, wireless communication, lenses, radar etc.

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### Maxwell's Equations: Gauss' Law Explained (ft. @Higgsino

3 hours ago Youtube.com Show details

Can YOU understand Gauss Law, which is the Maxwell Equation that prescribes how Electric Fields must behave?Hey everyone, I'm back with another video! This o

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### Maxwell's Equation: Gauss law of Electrostatics YouTube

3 hours ago Youtube.com Show details

Complete derivation of Maxwell's first equation which is based on Gauss law of Electrostatics. Semester 4 Electromagnetism subject.Complete understanding and

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### Maxwell’s Equations and Electromagnetic Waves – University

3 hours ago Opentextbc.ca Show details

The four Maxwell’s equations together with the Lorentz force law encompass the major laws of electricity and magnetism. The first of these is Gauss’s law for electricity; the second is Gauss’s law for magnetism; the third is Faraday’s law of induction (including Lenz’s law); and the fourth is Ampère’s law in a symmetric formulation

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### Maxwell’s Equations and their derivations Winner Science

8 hours ago Winnerscience.com Show details

Equation(14) is the integral form of Maxwell’s fourth equation. This is all about the derivation of differential and integral form of Maxwell’s fourth equation that is modified form of Ampere’s circuital law. 2. Maxwell first equation and second equation and Maxwell third equation are already derived and discussed.

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### Maxwells equations.pdf Gausss law for electric elds

3 hours ago Coursehero.com Show details

Maxwells equations.pdf - Gausss law for electric elds Divergence jgloda gin\/0 :> VOE=p\/80,S theorem Gausss law for magnetic elds Divergence fBoda=0 I:>

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### Is The Electric Charge A Source In Maxwells Equations Law

4 hours ago Faq-law.com Show details

Maxwell's Equations Georgia State University. 3 hours ago Hyperphysics.phy-astr.gsu.edu Show details . Charge Conservation. The fundamental idea of charge conservation is contained in Maxwell's Equations.If we take the divergence of the differential form of Ampere's law: .The first term above is zero by identity, and using Gauss' law:. the result is: The implication here is that …

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### 1 Maxwell’s equations UMD

5 hours ago Physics.umd.edu Show details

of a plane wave solution, and discuss the ﬁeld energy conservation theorem. The second section summarizes a few mathematical items from vector calculus needed for this discussion, including the continuity equation. 1 Maxwell’s equations Maxwell’s equations in diﬀerential form are the following equations: ∇·E = ρ/ 0 Gausslaw

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### Maxwell's equations and Coulomb's law Physics Forums

1 hours ago Physicsforums.com Show details

679. 2. In Feyman's lectures on physics, he said Maxwell's first 2 equations in electrostatics, namely curl E =0 and div E=rho/epsilon, is equivalent to Coulomb's law and superposition principle, But for a particular charge distribution, we can always use Coulomb's law and superposition principle to determine one unique field, and when it comes

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### A Plain Explanation of Maxwell's Equations – Fosco Connect

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Maxwell's Equations are composed of four equations with each one describes one phenomenon respectively. Maxwell didn't invent all these equations, but rather he combined the four equations made by Gauss (also Coulomb), Faraday, and Ampere. But Maxwell added one piece of information into Ampere's law (the 4th equation) - Displacement Current

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### Maxwell’s Equations University of Hong Kong

2 hours ago Eee.hku.hk Show details

5. Maxwell’s equations in source-free dynamic case 6. Maxwell’s Eqaution in phasor form 7. The dependency of Maxwell’s equations 1 Maxwell’s equations in integral form 1.1 Faradya’s Law of induction The induced emf (electromotive force) in a closed circuit is equal to the negative of rate of change of magnetic ﬂux pass through it

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### Gauss Law Applications, Gauss Theorem Formula

2 hours ago Byjus.com Show details

Problems on Gauss Law. Problem 1: A uniform electric field of magnitude E = 100 N/C exists in the space in X-direction. Using the Gauss theorem calculate the flux of this field through a plane square area of edge 10 cm placed in the Y-Z plane. Take …

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### 321 Chapter 32

1 hours ago Physics2000.com Show details

In this chapter, we will first describe the missing Gauss' law for magnetic fields, then correct Ampere ’s law to get the complete set of Maxwell ’s four equations. We will then solve these equations for a structure of electric and magnetic fields that moves through empty space at a speed v =1/ µ 0ε 0. We will see that this structure

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### Transforming Maxwell's Equations from Integral to

6 hours ago Bitdrivencircuits.com Show details

Maxwell's 3rd Equation in differential form: Maxwell's 4th Equation (Faraday's law of Induction) For Maxwell's 4th (and final) equation we begin with: Stokes' Theorem is again used to rewrite the left side of the equation as: In order to convert the right side of the equation to a surface integral, recall the definition of magnetic flux:

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### Maxwell's equations, (charge conservation, wave equation)

8 hours ago Electron6.phys.utk.edu Show details

(a) Write down Maxwell's equations in vacuum for a charge density and current density free medium (ρ = 0 and j = 0). (b) Show that the electric field and the magnetic field satisfy a wave equation. (c) Write down plane-wave solutions of the wave equations for …

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### Gausss Law For Magnetic Field

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Gauss Law For Magnetic Field. 9 hours ago Faq-law.com Show details . Gauss's law for magnetism WikiMili, The Free Encyclopedia. 9 hours ago Wikimili.com Show details . In physics, Gauss's law for magnetism is one of the four Maxwell's equations that underlie classical electrodynamics.It states that the magnetic field B has divergence equal to zero, [1] in other …

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### Maxwell's Equations Brilliant Math & Science Wiki

6 hours ago Brilliant.org Show details

Maxwell's equations are a set of four differential equations that form the theoretical basis for describing classical electromagnetism: Gauss's law: Electric charges produce an electric field. The electric flux across a closed surface is proportional to the charge enclosed. Gauss's law for magnetism: There are no magnetic monopoles. The magnetic flux across a closed surface is …

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### Maxwell's Equations

3 hours ago Hyperphysics.phy-astr.gsu.edu Show details

The electric flux out of any closed surface is proportional to the total charge enclosed within the surface.. The integral form of Gauss' Law finds application in calculating electric fields around charged objects.. In applying Gauss' law to the electric field of a point charge, one can show that it is consistent with Coulomb's law.. While the area integral of the electric field gives a

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### Maxwell's equation SlideShare

8 hours ago Slideshare.net Show details

Maxwell's equation 1. Maxwell’s Equation In Integral and Differential Form A PRESENTATION BY: ABHIJEET GUPTA-14011011101 PRERAK TRIVEDI-140110111045 KUNAL SHETH-140110111054 2. CONTENTS 1. Introduction 2. Gauss Law for Electric Fields 3. Gauss Law for Magnetic Fields 4. Faraday’s Law 5. The Ampere-Maxwell Law 3.

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### Introduction University of California, Davis

3 hours ago Math.ucdavis.edu Show details

Maxwell’s equations are a precise formulation Faradays laws for electromagnetism in the language of PDE’s. The for-mulation of Maxwell’s equations in the language of modern vector calculus, as rst given by Gibbs, is as follows: rE = ˆ 0; (1) rB = 0; (2) r E = @B @t; (3) r B = 0J+ 0 0 @E @t: (4) The rst equation is Gauss’s Law, the

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### Learn a Partial "Derivation" of Gauss's Law

9 hours ago Physicsforums.com Show details

Last updated: May 17, 2015

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### Chapter 1 Maxwell’s Equations

7 hours ago Photonics.ethz.ch Show details

To solve Maxwell’s equations (1.15)–(1.18) we need to invoke speciﬁc material properties, i.e. P = f(E) and M = f(B), which are denoted constitutive relations. 1.4 Maxwell’s Equations in Differential Form For most of this course it will be more convenient to express Maxwell’s equations in differential form.

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### physics Why do Maxwell's equations bear his name

4 hours ago Hsm.stackexchange.com Show details

Let's consider each law seperatey. 1) and 2): Gauss law for electricity and magnetism: Its integral form was first formulated by Joseph-Louis Lagrange in 1773 .. The next step, the Gauss divergence theorem, was also at first formulated by Joseph-Louis Lagrange in 1762 . However, it may seem strange, that the credit to both the above equations is given to Gauss.

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### An Introduction to Maxwell and his Equations — ThirdEquation

8 hours ago Thirdequation.com Show details

Fourth Equation: Ampère's law (with Maxwell's addition) - The Law of magnetic circuits. This is also a dynamic evolutionary law (evolution in time). The local forms of the laws of the electromagnetic field in immobile environments make up a system of 4 partial and first order linear differential equations, known as Maxwell's equations.

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### Maxwell's Equations Conservapedia

1 hours ago Conservapedia.com Show details

Maxwell's Equations, formulated around 1861 by James Clerk Maxwell describe the interrelation between electric and magnetic fields. They were a synthesis of what was known about electricity and magnetism, particularly building on the work of Michael Faraday, Charles-Augustin Coulomb, Andre-Marie Ampere, and others.These equations predicted the …

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### Maxwell Equation an overview ScienceDirect Topics

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C.-D. Munz, E. Sonnendrücker, in Handbook of Numerical Analysis, 2017 1 Introduction. Maxwell's equations describe the evolution of an electromagnetic field in the presence or without sources. Most often the Maxwell's equations are written in free space, in which case they form a linear hyperbolic system.

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### Yell if you have any questions MIT OpenCourseWare Free

4 hours ago Ocw.mit.edu Show details

Maxwell’s Equations: 1. Gauss’s Law (and “Magnetic Gauss’s Law”) 2. Faraday’s Law 3. Ampere’s Law (with Displacement Current) & Biot-Savart & Magnetic moments Electric and Magnetic Fields: 1. Have associated potentials (you only know E) 2. Exert a force 3. Move as waves (that can interfere & diffract) 4. Contain and transport energy

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### How is the Gauss law used in Maxwell's equations?

The first Maxwell’s law is Gauss law which is used for electricity. The Gauss law defines that the electric flux from any closed surface will be proportional toward the whole charge enclosed in the surface. The Gauss’ law integral form discovers application during electric fields calculation in the region of charged objects.

### Which is the correct form of Maxwell's equations?

Maxwell First Equation Maxwell Second Equation Maxwell Third Equation Maxwell Fourth Equation Gauss Law Gauss Magnetism Law Faraday Law Ampere Law Maxwell’s equations integral form explain how the electric charges and electric currents produce magnetic and electric fields.

### How is stokes'theorem related to Maxwell's equations?

Stokes' theorem relates the line integral of a vector field over a closed path to the surface integral of the curl of that vector field. Maxwell's 1st Equation (Gauss' Law for Electric Fields)

### How does the Gauss law of electricity relate to the third equation?

The Maxwell’s Third and Fourth equation deals with changing magnetic fields and changing electric fields respectively. 1. Gauss Law Of Electricity This law states that the Electric Flux out of a closed surface is proportional to the total charge enclosed by that surface.