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Electromagnetic Induction (A level)

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For A level physics (AQA, OCR A and Edexcel). Watch a magnet fall through a coil and a coil rotate in a field, with live flux-linkage and emf graphs. Then practise flux and Faraday’s law, Lenz’s law, ε = Blv, reading the graphs, transformers and rms values.

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Worked solution

    Key facts

    Φ = BA    flux linkage NΦ = BAN cos θ

    Φ is in webers (Wb); flux linkage is in Wb turns. θ is the angle between the field and the normal to the coil.

    ε = N ΔΦ/Δt    (the gradient of the NΦ–t graph)

    Lenz’s law: the induced current flows so as to oppose the change that produces it. This follows from conservation of energy.

    rod moving through a field: ε = Blv

    rotating coil: ε = BANω sin ωt    ω = 2πf = 2π/T

    The emf is 90° (a quarter of a cycle) out of phase with the flux linkage. Doubling ω doubles both the peak emf and the frequency.

    Ns/Np = Vs/Vp    efficiency = IsVs / IpVp

    Laminated soft-iron cores reduce eddy currents, so less energy is wasted heating the core.

    Vrms = V0/√2    Irms = I0/√2

    Calculated answers within 2% are marked correct. Values read from a graph or oscilloscope are marked correct within about 3–4% (or a third of a small square).

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