EE student here
this always puzzles me
I understand that the field on the left is strengthened and the on the right side its weakened. the result is a force
but why? does the field try to distribute itself evenly again?
That's just a basic principle of physics. Without going deep into Maxwell and stuff,
Everything in physics "wants" to reach the lowest energy state, a state where no work is done.
The force exists to distribute it evenly again (= lowest energy state) just like you said