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ehrenfest
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[SOLVED] faraday's law
A uniform magnetic field [itex]\mathbf{B}(t)[/itex] in the z-direction, fills a circular region in the x-y plane. If B is changing with time, what is the direction of [itex]\mathbf{E}[/itex]/
My book says it is circumferential, just like the magnetic field inside a long straight wire carrying a uniform current density.
Apparently they are using the analogy between Faraday's Law and Ampere's Law. But I do not see the logic at all.
This is Griffiths Example 7.7.
Homework Statement
A uniform magnetic field [itex]\mathbf{B}(t)[/itex] in the z-direction, fills a circular region in the x-y plane. If B is changing with time, what is the direction of [itex]\mathbf{E}[/itex]/
Homework Equations
The Attempt at a Solution
My book says it is circumferential, just like the magnetic field inside a long straight wire carrying a uniform current density.
Apparently they are using the analogy between Faraday's Law and Ampere's Law. But I do not see the logic at all.
This is Griffiths Example 7.7.