I am currently studying for O Level and I have been learning about electromagnetism for the past year. The topic has never clicked for me because I've never been taught the true relationship between electricity and magnetism. After looking online, I understand how electromagnetism and magnetism occur on their own (or at least enough to find some closure).
The thing that is still bugging is: why does the magnetic field around a straight current carrying wire 'rotate' a certain direction and not the other? To be specific, I want to understand its direction, not why it's circular. Is it just convention? I know it has something to do with cross-products but not how it applies here.
I know a lot of the topic is beyond my scope but I want to understand why this apparent 'asymmetry' occurs for the time being to rest my curiosity. Thanks for the any help.