(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A metal ring of radius a is located in a region with the homogenous magnetic flux density:

[itex]\hat{B} =\hat{z}B_0 cos(\omega t)[/itex]

The metal ring coincides with the plane z=0. The frequency w is very low.

Use Faraday´s Law to determine the electric field where the metal ring is located

2. Relevant equations

Faraday´s Law

[itex]\nabla \times E= -\frac{dB}{dt}[/itex]

3. The attempt at a solution

Cylindrical coordinates.

The Electric field is directed in the [itex]\varphi[/itex] direction around the ring.

Rotation of E then becomes:

[itex]-\frac{dE_{\varphi}}{dz}\hat{r} + \frac{1}{r} \frac{d(rE_{\varphi})}{dr}\hat{z}[/itex] = [itex]\hat{z}B_0 \omega sin(\omega t)[/itex]

Is this a correct beginning, and how do i proceed from this point?

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# Homework Help: Metal ring in magnetic field

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