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Consider a light bulb with a filament made from tungsten (with a resistivity temperature coefficient of 4.5E-3/K). Suppose the bulb is off, and at a temperature of 23 degrees C. Then let the bulb be switched on. For the first instant, while the temperature has not yet had a chance to increase, the current in the bulb is 1.76 A. Then the current decreases with time. A minute later, the current is only 0.81 A. What is the temperature T (in degrees C) of the filament at that time? The voltage driving the lightbulb filament stays the same as the filament heats.
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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