Physical significance of maxwell equations
Answers
Answered by
2
There are 4 equations in Maxwell’s equations. I’ll go through each one and explain.
∇⋅E=ρϵ0∇⋅E=ρϵ0
This equation, also known as Gauss’ Law, is stating that the divergence of the electric field is equal to the charge density inside of a closed surface of interest, multiplied by a constant. The divergence is how much the electric field “spreads out” from a given point. If there is more charge inside, the divergence is greater. If it’s zero, the divergence is zero.
∇×E=−dBdt∇×E=−dBdt
What this equation is saying is that the curl of the electric field is equal to the negative of the change in the electric field in time. In other words, if the magnetic field isn’t changing, electric field lines are straight. If it is changing, the electric field “swirls” appropriately, depending on if the field is increasing or decreasing. A changing magnetic field can induce an electric field! (i.e. Faraday induction). The negative sign is called Lenz’s law.
∇⋅B=0∇⋅B=0
There are no magnetic monopoles. The divergence of B is always zero. As such, there is no “sink” or “source” for B - the field lines have no beginning and no end. There is no source for them like there is for an electric field (i.e. an electric monopole). All magnetic “charge” is found in a dipole, with a North and a South.
∇×B=μ0ϵ0dEdt+μ0J∇×B=μ0ϵ0dEdt+μ0J
This one is a bit tougher. The curl of B, or the “swirliness of B” is equal to the change in the electric field, plus an imaginary fudge factor called the “displacement current” which accounts for the application to a capacitor. This is explains how a changing electric field (e.g. a current in a wire) can produce a magnetic field.
∇⋅E=ρϵ0∇⋅E=ρϵ0
This equation, also known as Gauss’ Law, is stating that the divergence of the electric field is equal to the charge density inside of a closed surface of interest, multiplied by a constant. The divergence is how much the electric field “spreads out” from a given point. If there is more charge inside, the divergence is greater. If it’s zero, the divergence is zero.
∇×E=−dBdt∇×E=−dBdt
What this equation is saying is that the curl of the electric field is equal to the negative of the change in the electric field in time. In other words, if the magnetic field isn’t changing, electric field lines are straight. If it is changing, the electric field “swirls” appropriately, depending on if the field is increasing or decreasing. A changing magnetic field can induce an electric field! (i.e. Faraday induction). The negative sign is called Lenz’s law.
∇⋅B=0∇⋅B=0
There are no magnetic monopoles. The divergence of B is always zero. As such, there is no “sink” or “source” for B - the field lines have no beginning and no end. There is no source for them like there is for an electric field (i.e. an electric monopole). All magnetic “charge” is found in a dipole, with a North and a South.
∇×B=μ0ϵ0dEdt+μ0J∇×B=μ0ϵ0dEdt+μ0J
This one is a bit tougher. The curl of B, or the “swirliness of B” is equal to the change in the electric field, plus an imaginary fudge factor called the “displacement current” which accounts for the application to a capacitor. This is explains how a changing electric field (e.g. a current in a wire) can produce a magnetic field.
Answered by
1
Answer:
Maxwell's equations describe how electric charges and electric currents create electric and magnetic fields. They describe how an electric field can generate a magnetic field, and vice versa.A property's "physical significance" means exactly what it seems to mean: what the property describes in the physical world. Basically, "physical significance" is a fancy term for "definition"Physical Significance of Maxwell's Equations. ... Therefore, Maxwell's first equation signifies that: The total electric displacement through the surface enclosing a volume is equal to the total charge within the volume.
Similar questions