- #1
EmilyRuck
- 136
- 6
Let's consider the Magnetic hysteresis loop of a certain material: https://www.nde-ed.org/EducationResources/CommunityCollege/MagParticle/Physics/HysteresisLoop.htm is an example. In many sites and books it is written that its area is proportional to the energy wasted as heat, so [itex]A = kE_d[/itex].
In particular, that area "is related to the amount of energy dissipation upon reversal of the field" (this is the source). I would like to ask some clarifications:
1) When exactly is that energy dissipated? When the impressed magnetic field [itex]\mathbf{H}[/itex] decreases from the saturation point or when [itex]\mathbf{H}[/itex] increases till the saturation point?
2) How can be circuitally represented that energy dissipation in the circuit of a transformer like this?
3) Maybe [itex]E_d[/itex] can be obtained as an integral. If [itex]A = kE_d[/itex], what are the steps needed to mathematically show this result and which is the meaning of [itex]k[/itex]? (If a link is more convenient than directly typing the steps, it would be excellent as well)
I can't see how dimensionally can be obtained an energy quantity (Joule) from A/m ([itex]\mathbf{H}[/itex]) and from Tesla ([itex]\mathbf{B}[/itex]).
In particular, that area "is related to the amount of energy dissipation upon reversal of the field" (this is the source). I would like to ask some clarifications:
1) When exactly is that energy dissipated? When the impressed magnetic field [itex]\mathbf{H}[/itex] decreases from the saturation point or when [itex]\mathbf{H}[/itex] increases till the saturation point?
2) How can be circuitally represented that energy dissipation in the circuit of a transformer like this?
3) Maybe [itex]E_d[/itex] can be obtained as an integral. If [itex]A = kE_d[/itex], what are the steps needed to mathematically show this result and which is the meaning of [itex]k[/itex]? (If a link is more convenient than directly typing the steps, it would be excellent as well)
I can't see how dimensionally can be obtained an energy quantity (Joule) from A/m ([itex]\mathbf{H}[/itex]) and from Tesla ([itex]\mathbf{B}[/itex]).