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Your company makes anemometers and plans to install light bulbs on them for high wind warnings. The idea is to attach a coil of wire of radius 13.2 cm to one of the arms and use the EMF induced by the magnetic field of the Earth to light the bulb. The bulbs possess 234 ? of internal resistance but need 14.5 W of rms power dissipation to be visible at night. (The resistance of the wire is negligible.) Although company management wants this new feature, you have doubts about its practicality. Assuming the magnetic field of the Earth is 0.500 gauss and is oriented roughly horizontal with the Earth, and that 95.5 mph is considered the threshold of dangerous wind speed, calculate the number of turns in the coil wire needed to light the bulb.
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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