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You want to use the idea of electromagnetic induction to make the bulb in your small flashlight glow; it glows when the potential difference across it is 1.5 Volt. You have a bar magnet and a coil with 100 turns, each with area 3.1 ×104 m2. The magnitude of the B field at the front of the bar magnet's north pole is 5.0 × 102 T and reaches 0 T when it is about 4 centimeter away from the pole. Find with what speed should you move the magnet to make the bulb light?
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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