Circuitos Magneticos Ejercicios Resueltos -
| Electric Circuit | Magnetic Circuit | |----------------|------------------| | Electromotive force (EMF), ( E ) (volts) | Magnetomotive force (MMF), ( \mathcalF = N I ) (ampere-turns) | | Current, ( I ) (amperes) | Magnetic flux, ( \Phi ) (webers) | | Resistance, ( R = \frac\rho lA ) (ohms) | Reluctance, ( \mathcalR = \fracl\mu A ) (A-turns/Wb) | | Conductivity, ( \sigma ) | Permeability, ( \mu = \mu_r \mu_0 ) | | Ohm’s law: ( I = E/R ) | Ohm’s law for magnetics: ( \Phi = \mathcalF / \mathcalR ) | | Kirchhoff’s voltage law (KVL) | Ampère’s law: ( \sum N I = \sum H l = \sum \Phi \mathcalR ) | | Kirchhoff’s current law (KCL) | Flux continuity: ( \sum \Phi = 0 ) at a node |
Key formulas:
Important note: In ferromagnetic materials, ( \mu_r ) is not constant (saturation, hysteresis). Many introductory solved exercises assume linearity (constant ( \mu_r )). circuitos magneticos ejercicios resueltos
In a quiet laboratory, an electrical engineer named Elena is designing a small electromagnet for a locking system. She knows that understanding magnetic circuits is just as important as understanding electric circuits. But instead of voltage and current, she works with magnetomotive force (MMF), flux, and reluctance.
She picks up her notebook. On it, three classic problems are written. Important note: In ferromagnetic materials, ( \mu_r )
Cálculo de la Reluctancia ($\mathcalR$): $$ \mathcalR = \fracl\mu \cdot A $$ Donde:
Permeabilidad del Vacío: $$ \mu_0 = 4\pi \times 10^-7 , H/m $$ Cálculo de la Reluctancia ($\mathcalR$): $$ \mathcalR =
Ley de Ampere: La integral de línea del campo magnético $H$ a lo largo de un camino cerrado es igual a la corriente total encerrada: $$ \oint H , dl = N I $$
