Recall the demonstration of Faraday's law. A magnet is moved along the axis of a coil inducing an emf(voltage) in the coil. Suppose the magnetic field created by the magnet is uniform throughout the coil and time-dependent so that B(t)=Bo+0.5Bocos(ot) where Bo=5.0 mT and co-2.0 rad/s. The coil is wrapped with 1000 turns of wire. The area inside the coil is 100 cm². When an oscilloscope is connected to the coil, it displays an oscillating voltage. What is the maximum (peak) induced voltage you expect to see? What is the period of the voltage oscillation?

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Recall the demonstration of Faraday's law. A magnet is moved along the axis of a coil
inducing an emf(voltage) in the coil. Suppose the magnetic field created by the magnet is
uniform throughout the coil and time-dependent so that B(t)=Bo+0.5Bocos(@t) where Bo=5.0
mT and wo=2.0 rad/s. The coil is wrapped with 1000 turns of wire. The area inside the coil is
100 cm². When an oscilloscope is connected to the coil, it displays an oscillating voltage.
What is the maximum (peak) induced voltage you expect to see? What is the period of the
voltage oscillation?
Transcribed Image Text:Recall the demonstration of Faraday's law. A magnet is moved along the axis of a coil inducing an emf(voltage) in the coil. Suppose the magnetic field created by the magnet is uniform throughout the coil and time-dependent so that B(t)=Bo+0.5Bocos(@t) where Bo=5.0 mT and wo=2.0 rad/s. The coil is wrapped with 1000 turns of wire. The area inside the coil is 100 cm². When an oscilloscope is connected to the coil, it displays an oscillating voltage. What is the maximum (peak) induced voltage you expect to see? What is the period of the voltage oscillation?
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