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The human eye can detect light by an intensity as low as about10–9 W/m2. A typical large galaxy, such as our own Milky Way, radiates energy at the rate of about 4.*1036 W. What is the maximum distance from earth of a typical galaxy that can be seen with the unaided eye? (There are only three galaxies that are visible without instruments. One of these, the Andromeda galaxy, shown in the figure below, is about2.*106 light-years from earth—where 1light-year, the distance traveled with light in 1 year, is 9.46*1015 m.)
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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