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2 September, 07:22

A rectangular loop (area = 0.15 m2) turns in a uniform magnetic field, B = 0.18 T. When the angle between the field and the normal to the plane of the loop is π/2 rad and increasing at 0.75 rad/s, what emf is induced in the loop?

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  1. 2 September, 07:38
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    Emf induced in the loop is 0.02V

    Explanation:

    To get the emf of induced loop, we have to use faraday's law

    ε = - dΦ/dt

    To get the flux, we use;

    Φ = BA cos (θ)

    B = The uniform magnetic field

    A = Area of rectangular loop

    θ = angle between magnetic field and normal to the plane of loop

    substitute the flux equation (Φ) into the faraday's equation

    we have ε = - d (BA cos (θ)) / dt

    ε = BA sinθ dθ/dt

    from the question; B = 0.18T, A=0.15m2, θ = π/2, dθ/dt = 0.75rad/s

    Our equation will now look like this;

    ε = (0.18T) (0.15m2) (sin (π/2)) (0.75rad/s)

    ε = 0.02V
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