The ELI5:
The ∇ or gradient basically tells you given your current position, which direction you will travel. Imagine a ball on a hill, the direction the ball travels and how fast it travels all depend on where the ball is placed on the hill.
In the context of Maxwell’s equations: You have held a magnet before right? You have felt it push and pull things? The equations describe what a magnetic field looks like (the hill) given your position in a magnetic field, where you will be pushed or pulled (like the ball rolling).
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