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Old Jul 17th 2018, 03:53 AM   #1
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Transformation of the Maxwell-Herz equations

Hello!

I've been reading Einstein's "On the Electrodynamics of the moving bodies", and the Electrodynamical part of the paper starts from a transformation of the Maxwell-Herz equations.
http://hermes.ffn.ub.es/luisnavarro/...relativity.pdf (page 13)

Seems like I cannot apply the transformation correctly.
I tried ∂X/∂t=(∂X/∂τ)*(∂τ/∂t), calculating (∂τ/∂t) from the transformation formulae, then: ∂N/∂y=∂N/∂η and so on. But I guess it is not right. I think I have to somehow use that τ=τ(t,x) (assuming v=const), but I don't know how.
And I don't understand how and most importantly why do Y and Z appear in the equation for X?

I would be really grateful if anyone could give me a hint.
Thank you in advance.
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