Maxwell's equations using vectors D and H

AI Thread Summary
Maxwell's equations in differential form for electromagnetism in linear materials using vectors D and H include: div D = ρ (Gauss' law), div H * μ * μ0 = 0 (Gauss' law in magnetism), curl (D/(ε * ε0)) = -dB/dt (Faraday's law), and curl H = j_f + dD/dt (Ampere-Maxwell law). The discussion confirms the correctness of these equations and suggests using εR instead of ε for clarity, as ε = εR * ε0. The terms ε0 and μ0 represent the permittivity and permeability in free space, while εR and μR refer to the relative permittivity and permeability of the material. Clarification on the meaning of the subscript "R" is sought, indicating a common point of confusion. Understanding these concepts is essential for accurately applying Maxwell's equations in various contexts.
blueyellow

Homework Statement



Write Maxwell's equations for electromagnetism in differential form:

in matter, for a linear material, using the vectors D and H

The Attempt at a Solution



div D= ro (Gauss' law)
div H*mu*mu0=0 gauss' law in magnetism
curl (D/(epsilon*epsilon0))=-dB/dt(partial derivative) faraday's law
curl H=j(subscript f)+dD/dt (partial derivative) ampere-maxwell law

I wanted to check whether they were correct
 
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blueyellow said:

Homework Statement



Write Maxwell's equations for electromagnetism in differential form:

in matter, for a linear material, using the vectors D and H

The Attempt at a Solution



div D= ro (Gauss' law)
div H*mu*mu0=0 gauss' law in magnetism
curl (D/(epsilon*epsilon0))=-dB/dt(partial derivative) faraday's law
curl H=j(subscript f)+dD/dt (partial derivative) ampere-maxwell law

I wanted to check whether they were correct

That looks pretty close. You can check your answer here at hyperphysics:

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

BTW, if you want to write "epsilon*epsilon0", you should write "epsilonR*epsilon0", because epsilon = epsilonR*epsilon0. Or in LaTeX:

\epsilon = \epsilon_R * \epsilon_0

.
 
sorry, I just realized I don't know what epsilon r and mu r actually are. epsilon 0 and mu0 are the permittivity and permeability in free space aren't they? but what does the r stand for? I have tried looking this up
 
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