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Jun 5, 2023 at 19:33 vote accept Ray
Jun 5, 2023 at 16:21 comment added march @Ray I've added a little to the post to make some of these connections clear. The right-hand rule does show up directly in Faraday's Law in the sense of matching the orientation of the surface to the direction of the path along which we're integrating the induced electric field.
Jun 5, 2023 at 16:20 history edited march CC BY-SA 4.0
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Jun 5, 2023 at 16:00 comment added march @Ray What do you mean by "negative"? emf is the line integral of the electric field: emf = $\int \vec{E}\cdot d\vec{l}$. In electrostatics, this is just the the electric potential difference between the initial and final points of the path along which we're integrating. For Faraday's Law, we know that $\oint \vec{E}\cdot d\vec{l} = -\frac{d}{dt}\int_A\vec{B}\cdot d\vec{A}$. Then, the right-hand rule (used properly) tells you the direction of the electric field induced by the changing magnetic field, and this electric field can drive a current.
Jun 5, 2023 at 15:53 comment added Ray I know how to find out which way the current goes but what about the induced emf? Is it always negative?
Jun 5, 2023 at 15:41 history answered march CC BY-SA 4.0