Recent content by superiority

  1. S

    Aligning a laser with a single-mode fibre

    Does anybody have any tips for doing this well? Frankly, I'm pretty terrible at it. I mean, once I get a small amount going through, I can do a little bit of optimisation by adjusting the angle of the fibre in one direction, and then adjusting the angle of the incident beam along the same plane...
  2. S

    Millikan oil drop experiment lab help

    Homework Statement I'm doing Millikan's oil drop experiment in a lab. I've got a set of measurements and all that, but in analysis of the data I can't seem to get values for the charges on individual drops that seem reasonable. I find that each drop is carrying between 10 and 300 elementary...
  3. S

    Magnetic vector potential from an infinite current sheet with thickness t

    Okay, I need boundary conditions to find the solutions, right? I know that A is continuous everywhere. (Incidentally, I realized that I forgot to write \nabla^2{\bf{A}}_x = 0 outside the sheet). A is 0 at y = \infty. So that gives me \frac{\partial^2 A^{in}_x}{\partial x^2} + \frac{\partial^2...
  4. S

    Magnetic vector potential from an infinite current sheet with thickness t

    Homework Statement An infinite sheet of copper conductor, thickness t, lies in the xz-plane. The sides of the sheet intersect the y-axis at y=\pm\frac{t}{2}. The current density in the sheet is given by: {\bf{j}}({\bf{r}}) = \begin{cases} j_0\left(\frac{y}{t}\right)^2{\bf{\hat{x}}}, &...
  5. S

    Shape of surface of fluid in a rotating tank

    Homework Statement A concave astronomical telescope mirror may be made by rotating a circular tank of mercury. Find an expression for the shape of the surface in terms of the density of mercury, the radius from the centre, and the rotation rate. Homework Equations v = r \omega The...
  6. S

    Velocity and Acceleration on a Rotating Disk?

    The problem says that you're moving along a straight radial line - imagine that the disk has a straight line from the circumference to the centre, and, as the disk rotates, you start at the centre and walk along this line to the edge. If you were standing in one spot on the disk, then you would...
  7. S

    Rate of air pressure drop in a reservoir with a hole to a vacuum

    Wouldn't \frac{m}{P} actually be a constant? But that doesn't seem right at all. Edit: Volume, not mass. Dammit.
  8. S

    Rate of air pressure drop in a reservoir with a hole to a vacuum

    P = \frac{1}{3}\rho {v_{rms}}^2 \rho = \frac{m}{V} P = \frac{m}{3V} {v_{rms}}^2 v_{rms} = \sqrt{\frac{3PV}{m}} In some amount of time dt, if A_h is the area of the hole, the amount of mass dm that passes through the hole is dm = A_h\cdot \sqrt{\frac{3PV}{m}}dt Rearranging: \sqrt{\frac{m}{P}}dm =...
  9. S

    Rate of air pressure drop in a reservoir with a hole to a vacuum

    Homework Statement A space capsule, which may be treated as a sphere of radius 10m, is hit by a micrometeorite which makes a hole of diameter 2mm in its skin. Estimate how long it will take for the air pressure to drop by 30%. Avogadro's number is about 6 \times 10^{23} Homework Equations...
Back
Top