(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

the question is:

Without doing any calculations, explain why the divergence of each of the functions must be zero(Hint: consider what electric field these functions physically correspond to)

P.S: I make the unit vectors in bold.

A_{1}=x

A_{2}=ρ(1/ρ) with ρ>0

A_{3}=r(1/r^{2}) with r>0

2. Relevant equations

I think we need to argue about the charge

3. The attempt at a solution

for A1 , the electric field of A! is a plane, which constant, so divergence is zero.

for A2, it seems to be a line of charge but I don know how to argue for the divergence to be zero.

Same for A3

Can someone see what is going on?

B

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# Explain why the divergence of each of the functions must be zero

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