- #1

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## Homework Statement

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

## Homework Equations

I think we need to argue about the charge

## 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