How Does Understanding How It Works: A Guide Simplify Complex Concepts?

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Understanding the principles of electromagnetic induction simplifies complex concepts by illustrating how time-varying magnetic fields can induce electric fields, leading to phenomena such as eddy currents and ohmic heating in conductors. The equation ∇ × E = -∂B/∂t highlights this relationship, demonstrating the interaction between electric and magnetic fields. Additionally, ferromagnet hysteresis loops provide another mechanism for understanding magnetic behavior in materials. These concepts are crucial in applications like induction cookers, where alternating current through a solenoid generates the necessary magnetic fields. Overall, grasping these fundamental principles enhances comprehension of various electromagnetic applications.
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How exactly does it work?
 
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According to \nabla \times E = -\partial B / \partial t, a time-varying magnetic field induces a divergence-free E field; where this intersects a metallic conductor it results in eddy currents and ohmic heating. The magnetic field can be generated by running alternating current through a solenoid.

Then there's a different mechanism that relies on ferromagnet hysteresis loops.

See http://en.wikipedia.org/wiki/Induction_cooker#Technical_aspects
 

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