The discussion clarifies the difference in units between the magnetic field intensity H and current density J as described in Maxwell's equations. Specifically, H is measured in amperes per meter (A/m), while J is measured in amperes per square meter (A/m²). This discrepancy arises from the mathematical operation involved in the curl of H, which includes a spatial derivative, thus introducing an additional length dimension in the denominator. This is analogous to the relationship between velocity and acceleration in physics.
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You're taking the derivative of H, and this involves dividing by a length. The components of Curl(H) has terms like partial(H)/partial(x), so there is an additional length in the denominator. This is just like the fact that the units of velocity are m/s, while the units of acceleration (which is the time derivative of velocity) are m/s^2.Tesla Gwon said:Maxwell's equation is
∇×H=J + ...
but the unit of H is A/m while J's unit is A/m2
as quoted from wikipedia
how can it be possible?