Physics

A 39-turn circular coil of radius 3.20 cm and resistance 1.00 Ω is placed in a magnetic field directed perpendicular to the plane of the coil. The magnitude of the magnetic field varies in time according to the expression B = 0.010 0t + 0.040 0t2, where B is in teslas and t is in seconds. Calculate the induced emf in the coil at t = 5.40 s.

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  1. 39- turn coil
    3.20 cm
    1.00 Ω
    B= 0.0100t + 0.0400t2
    T= 5.40s

    lƩl =ΔφB/Δt = N (dB/dt)A


    =N[d/dt (0.0100t + 0.0400 t^2)A
    =39(0.0100 + 0.0800(5.40))[π(0.0320)^2]
    =0.05545
    =5.55 x 10^-2 V
    =55.5 mV

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