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For a very simple model, consider a solid iron sphere 2.00 cm in radius. Assume the temperature is always uniform throughout its volume.
a) Find the mass of the sphere.
b) Assume that it is at 20.0 C and has emissivity of .860 . Find the power with which it is radiating electromagnetic waves.
c) If it were alone in the Universe at what rate would its temperature be changing?
d) Assume Wien's Law describes the sphere. Find the wavelength (Lamdamax) of electromagnetic radiation that it emits most strongly. Although it emits a spectrum of waves all having different wavelengths, model it whole power output as carried by photons of wavelength (Lamdamax).
e) Find the energy of one photon.
f) Find the number of Photons it emits each second.
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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