Electromagnetism β˜…β˜…β˜† Moderate

🧲 Magnetic Hysteresis Loop

Iron remembers. When you magnetise a ferromagnet and then reduce the field, the domains don't fully unalign β€” remanence Br stays behind. The area of the B-H loop equals the energy dissipated as heat per cycle β€” critical for transformer core design.

H: 0 A/m
B: 0.000 T
Saturation Bs: β€”
Remanence Br: β€”
Coercivity Hc: β€”
Loop area: β€”

⚑ The Physics of Hysteresis

Inside a ferromagnet, magnetic domains β€” regions of uniform magnetisation β€” tend to align with an applied field H. As H increases, domains grow and rotate until saturation Bs is reached. Reducing H doesn't reverse this fully: domains are pinned by defects, leaving a permanent magnetisation called remanence Br.

B(H) = BsΒ·tanh[(H Β± Hc) / Hsat]

A field of -Hc (coercivity) is needed to demagnetise the material. Soft materials (low Hc) are used in transformer cores to minimise loop area and hence heat loss. Hard materials (high Hc) make permanent magnets.