A coil 4.00 cm in radius, containing 500 turns, is placed in a uniform magnetic field that varies with time according to B = (0.0120 T/s)t + (3
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We will use Faraday's law of electromagnetic induction, which states that the induced emf in a coil is equal to the negative rate of change of magnetic flux through the coil. Show more…
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A coil with a radius of 4.20 cm, containing 500 turns, is placed in a uniform magnetic field that varies with time according to B = (1.20×10^−2 T/s)t + (2.60×10^−5 T/s^4)t^4. The coil is connected to a 640-Ω resistor, and its plane is perpendicular to the magnetic field. You can ignore the resistance of the coil. a) Find the magnitude of the induced emf in the coil as a function of time.
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A 38-turn circular coil of radius 3.60 cm and resistance 1.00 ̐ 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 0t^2, where B is in teslas and t is in seconds. Calculate the induced emf in the coil at t = 4.80 s.
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The accompanying figure shows a rectangular coil consisting of 40 closely spaced turns that has a resistance of 4.0 ̐. The magnetic field at all points inside the coil varies according to B = B0e^-̐t, where B0 = 0.45 T and ̐ = 200 s^-1. What is the current induced in the coil (in A) at the following times? (Enter the magnitudes.) (a) 0.001 s (b) 0.002 s (c) 2.0 s
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