Electric field of charged infinite line and plane

[Angelos]

Hi...

I have hopefuly simple question, which however drives me crazy...
I know how to mathematically derive that infinite line of charge has its electric field inversly proportional to the distance from it and also I know how to derive that infinite plane of charge has its electric field constant. Nevertheless I don't see why is this. Why the E-field of infinite line changes, but one of infinite plane does not? I mean I don't see the physical reason for it.

Thanks for any help.

 

[rbj]

i wrote a response to a similar question regarding the inverse-square law. take a look at:

https://www.physicsforums.com/showthread.php?t=188661

for, what seems to me to be, the intuitive reply. remember all this is because we live in 3 spatial dimensions.