Formula of electric field due to time varying magnetic field
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I have just learnt electromagnetic induction. When the magnetic flux through a closed loop changes with time, a current is produced in the loop. My teacher told me that this was due to an "induced electric field" in the wires, and that it was a non conservative field.
How did this field magically appear? I would like to know the mechanism- or at least an intuitive understanding of how this happens. I am also aware that a current carrying wire exerts a magnetic force on a moving charge due to length contraction, responsible for creating an extra electrostatic force on the charge. Can relativity be used to explain Faraday's law as well? Even Griffiths does not get into what causes the induced electric field.
formula:
Electric field induced by magnetic field
Faraday's Law: Electric force due to a changing B-field. ... The negative sign represents the fact that any current generated by a changing magnetic field in a coil produces a magnetic field that opposes the change in the magnetic field that induced it. This phenomenon is known as Lenz's law
How did this field magically appear? I would like to know the mechanism- or at least an intuitive understanding of how this happens. I am also aware that a current carrying wire exerts a magnetic force on a moving charge due to length contraction, responsible for creating an extra electrostatic force on the charge. Can relativity be used to explain Faraday's law as well? Even Griffiths does not get into what causes the induced electric field.
formula:
Electric field induced by magnetic field
Faraday's Law: Electric force due to a changing B-field. ... The negative sign represents the fact that any current generated by a changing magnetic field in a coil produces a magnetic field that opposes the change in the magnetic field that induced it. This phenomenon is known as Lenz's law
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