The divergence of a vector field tells us how many field lines goes into a volume element in relation to how many goes out.
So if div B = 0 there should be the same amount of magnetic field lines going into a volume element as are going out of it right?
But the Biot-Savart equations tells us that the magnetic field decreases by r^2 the further away you go. Could somebody help me out in pointing where I got the concept wrong?
So if div B = 0 there should be the same amount of magnetic field lines going into a volume element as are going out of it right?
But the Biot-Savart equations tells us that the magnetic field decreases by r^2 the further away you go. Could somebody help me out in pointing where I got the concept wrong?