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# PPE37_FluxFaradaysLaw - Induction Magnetic Flux and...

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Magnetic Flux © RHJansen The flow of the magnetic field through an area of space. ϕ M Magnetic Flux (flow), T m 2 B Magnetic field, T A Area, m 2 What about cos θ ? It solves for parallel components (dot product) of the vectors involved. B is an area, but A is not. However, there is a vector perpendicular to all surfaces, the normal . If a surface is involved, angles are measured with respect to the normal. φ μ = ΒΑ χοσ θ B A normal
Magnetic Flux © RHJansen Cosine in a formula tells me that I need parallel components . I use my geometry and trig skills to find the component of the magnetic field that is parallel to the normal vector (a vector drawn perpendicular to a surface). Then I multiply the component of B with A . In the diagram to the left, B is already parallel to the normal. Just multiply B and A . φ μ = ΒΑ B A normal

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Magnetic Flux © RHJansen In this diagram B is at an angle to the normal. Split B into components. If the formula has a cosine in it, select the parallel component. φ μ = ΒΑ B A normal θ B x B y φ μ = Β ξ Α φ μ = Β χοσ θ ( 29 Α
Changing Flux © RHJansen The area we will need is the area bounded by a loop of wire. If you have a loop of wire and a fixed magnet, how many ways are there to create a change in flux? Change the strength of magnetism by moving the magnet toward (stronger) or away (weaker) from the wire loop. Or, you could leave the magnet stationary and move to loop toward it or away from it. If the magnet is a current carrying wire, changing the amount of current will change the strength of the magnetic field. Turn the wire loop so that less magnetic field lines are able to pass through the loops area. (see demo in class) φ μ = φ - φ 0 = ΒΑ ( 29 - ΒΑ ( 29 0

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Electromagnetic Induction © RHJansen The process of creating (inducing) a potential (emf) which provides the necessary electrical pressure to induce a current in a closed loop of conducting material. For this to happen… there must be a changing flux in the loop of conducting material. Faraday discovered that moving a loop of wire near a magnet, in a manner that changed the flux through the loop, would induce a current to flow in the loop of wire.
Faraday’s Law © RHJansen Calculates the emf (potential) induced by a changing flux in a loop of conducting material. ε emf ϕ m Magnetic Flux (flow), T m 2 t time, s The law is written for a single loop of wire.

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