Understanding Formula Transition: Solving for curlB and divJ in Electromagnetism

[nhrock3]

$$\oint Bdl=\mu\int JdA+\mu\frac{{d}}{dt}\int EdA$$

$$\int(curlB)dA=\mu\int divJdV+\mu\frac{{d}}{dt}\int divEdV$$

how to go from the above integral equation to the bottom equation

$$curlB=\mu\varepsilon\frac{{dE}}{dt}+\mu J$$

 

[Wingeer]

I think there are something wrong with your LaTeX-codes.

 

[Ray Vickson]

$$\oint Bdl=\mu\int JdA+\mu\frac{{d}}{dt}\int EdA$$

$$\int(curlB)dA=\mu\int divJdV+\mu\frac{{d}}{dt}\int divEdV$$

how to go from the above integral equation to the bottom equation

$$curlB=\mu\varepsilon\frac{{dE}}{dt}+\mu J$$

Try using $$and$$ instead of $$and$$.

RGV

 

[HallsofIvy]

$$\oint Bdl=\mu\int JdA+\mu\frac{{d}}{dt}\int EdA$$

$$\int(curlB)dA=\mu\int divJdV+\mu\frac{{d}}{dt}\int divEdV$$

how to go from the above integral equation to the bottom equation

$$curlB=\mu\varepsilon\frac{{dE}}{dt}+\mu J$$

Looks to me like an application of Stoke's curl theorem:
$$\int_S \nabla\times F dS= \oint_{\partial S} F\cdot ds$$

 

[Mark44]

Try using $$and$$ instead of $$and$$.

RGV

What Ray wrote was [ tex] and [ /tex], but without the extra space inside each pair of brackets. In other words, don't use upper case (TEX); use lower lower case (tex).

 

[nhrock3]

i tried i switched to
$$\oint Bdl=\mu\int JdA+\mu\frac{{d}}{dt}\int EdA$$

$$\int(curlB)dA=\mu\int divJdV+\mu\frac{{d}}{dt}\int divEdV$$

how to go from the above integral equation to the bottom equation

$$curlB=\mu\varepsilon\frac{{dE}}{dt}+\mu J$$

still no formula showing

 

[Ray Vickson]

Try using $$and$$ instead of $$and$$.

RGV

This should have said "$$" and "$$" instead of $$and$$.
I guess the first part was dropped because I forgot to put the "[tex]" in
quotes. So, that means that you remove the quotes when you use them.

RGV

 

[nhrock3]

 

[Ray Vickson]

AArgh! This still has not gotten through. I mean
use "[ t - e - x]" and "[ / t - e - x ]" (removing spaces and
hyphens, or course). Let's see if *this* gets through.

RGV

 

[nhrock3]

i uploaded a photo could you help with my question
Arrggg :)