Recent content by eckerm

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    Temperature of a spinning and non spinning asteroid

    Homework Statement Consider a rapidly rotating asteroid with an albedo (reflectivity) averaged over the solar spectrum of 0.05 that orbits around a 3 solar mass star that has the same surface temperature as the Sun. The asteroid’s orbit has a semi-major axis of 15 AU. What is its equilibrium...
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    Potential of dielectric cylinder with constant polarization

    Homework Statement The dielectric cylinder is radius R and thickness d. Origin is at the center of the cylinder, which is oriented along the z-axis. It has polarization P=pz∧I need to calculate the potential V(0,0,h) at h>d/2. Homework Equations σb=P⋅n∧...
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    Potential around charged infinite cylinder in E field

    I assume it's a conducting metal and the charge is evenly dispersed on the surface.
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    Potential around charged infinite cylinder in E field

    Homework Statement The cylinder has a radius a and is perpendicular to the electric field, E(r)=E(x_hat). It also carries charge Q. The potential is of the form V(r,φ)=A0+A0'ln(r)+∑(n=1 to ∞)((Ancos(nφ)+Bnsin(nφ))rn+(An'cos(nφ)+Bn'sin(nφ))r-n) Homework Equations V=-∫E⋅dl The Attempt at a...
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    Electric field on the x-axis of a semicircle

    Homework Statement There's a charged semicircle, the ends of which are on the x-axis and it extends into the positive y-axis. It has uniform line charge density. I need to find the electric field at an arbitrary point on the x-axis that's not the origin. Homework Equations I don't know. The...