Recent content by Piamedes

Never mind, I worked it out with some help. the l squared over resistance quantity reduces to a ratio of the resistivity and density of aluminum

Homework Statement A square loop is cut out of a thick sheet of aluminum. It is then placed so that the top portion is in a uniform magnetic field B, and allowed to fall under gravity. (B is perpendicular to the loop) If the magnetic field is 1 T, find the terminal velocity of the loop...

I was just referring to if the magnitude of a velocity vector was still the square root of the sum of squares of its components.

Thanks, I think I have it: That is the velocity of the signal in the y direction, but it also has a velocity component in the x direction because it was emitted by a moving source. The velocity in the x direction is just v. So the speed V is just: V^2 = v_{y}^2 + v_{x}^2 V^2 = c^2...

Homework Statement A rocket is traveling at speed V along the x-axis of frame S. It emits a signal (for example, a pulse of light) that travels with speed c along the y prime axis of the rocket's rest frame S prime. What is the speed of the signal as measured in S? Homework Equations...

Thanks, that solves my problem

I'm sorry, I didn't make my question clear. My issue doesn't come from splitting it into two contours, it comes from proving that the semicircular portion of the contour does not actually contribute anything to the integral. For the upper half of the plane: \int_{Arc} \frac{z...

my issue is that I can't figure out how to complete the contour for the sign term because the normal method I learned fails to work. Since it xsin(ax), the integral for the arc portion of the contour does not nicely reduce to zero. I was wondering how to go about showing that the arc actually...

Homework Statement Show that: For a = 0 \int_{0}^{\infty} \frac{cos{ax}+x sin{ax}}{1+x^2} dx = \frac{\pi}{2} For a > 0 \int_{0}^{\infty} \frac{cos{ax}+x sin{ax}}{1+x^2} dx = \pi e^{-a} For a < 0 \int_{0}^{\infty} \frac{cos{ax}+x sin{ax}}{1+x^2} dx = 0 Homework Equations Residue...

thanks, the comparison with 2 works perfectly

uh, I'm pretty sure that your inequality is backwards

Homework Statement Test for convergence the series: a_[n] = \frac{1}{n*n^{\frac{1}{n}}} Homework Equations Various Sequence Convergence Tests The Attempt at a Solution So far I've tried both a normal comparison and limit comparison test with n^2. The normal one seemed fine...

Thanks

Homework Statement There are two parts to question, the first asks for you to find the moment of inertia I for a thin disk of uniform density, a relatively trivial problem. My problem centers around that second part, "Repeat the case where the density increases linearly with r, starting at...

Thanks!