Maxwell First Equation Maxwell’s first equation is based on the Gauss law of electrostatic, which states that “when a closed surface integral of electric flux density is always equal to charge enclosed over that surface”
Maxwell Second Equation Maxwell second equation is based on Gauss law on magnetostatics.
Gauss law on magnetostatics states that “closed surface integral of magnetic flux density is always equal to total scalar magnetic flux enclosed within that surface of any shape or size lying in any medium.”
Maxwell Third Equation Statement: Time-varying magnetic field will always produce an electric field.
Maxwell’s 3rd equation is derived from Faraday’s laws of Electromagnetic Induction. It states that “Whenever there are n-turns of conducting coil in a closed path placed in a time-varying magnetic field, an alternating electromotive force gets induced in each coil.” Lenz’s law gives this. Which states, ” An induced electromotive force always opposes the time-varying magnetic flux.”
Maxwell’s Fourth Equation It is based on Ampere’s circuit law. To understand Maxwell’s fourth equation, it is crucial to understand Ampere’s circuit law,
Consider a wire of a current-carrying conductor with the current I. Since there is an electric field, there has to be a magnetic field vector around it. Ampere’s circuit law states that “The closed line integral of magnetic field vector is always equal to the total amount of scalar electric field enclosed within the path of any shape”, which means the current flowing along the wire(which is a scalar quantity) is equal to the magnetic field vector (which is a vector quantity)
NPA PHYSICS
Significance of Maxwell equations
Maxwell First Equation
Maxwell’s first equation is based on the Gauss law of electrostatic, which states that “when a closed surface integral of electric flux density is always equal to charge enclosed over that surface”
Maxwell Second Equation
Maxwell second equation is based on Gauss law on magnetostatics.
Gauss law on magnetostatics states that “closed surface integral of magnetic flux density is always equal to total scalar magnetic flux enclosed within that surface of any shape or size lying in any medium.”
Maxwell Third Equation
Statement: Time-varying magnetic field will always produce an electric field.
Maxwell’s 3rd equation is derived from Faraday’s laws of Electromagnetic Induction. It states that “Whenever there are n-turns of conducting coil in a closed path placed in a time-varying magnetic field, an alternating electromotive force gets induced in each coil.” Lenz’s law gives this. Which states, ” An induced electromotive force always opposes the time-varying magnetic flux.”
Maxwell’s Fourth Equation
It is based on Ampere’s circuit law. To understand Maxwell’s fourth equation, it is crucial to understand Ampere’s circuit law,
Consider a wire of a current-carrying conductor with the current I. Since there is an electric field, there has to be a magnetic field vector around it. Ampere’s circuit law states that “The closed line integral of magnetic field vector is always equal to the total amount of scalar electric field enclosed within the path of any shape”, which means the current flowing along the wire(which is a scalar quantity) is equal to the magnetic field vector (which is a vector quantity)
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