Recent content by JFuld

  1. J

    Find the probability that a muon is passing through your body this instant

    ahh thank you, I knew I had no idea what I was doing haha. Well here is what I did in sight of your comment: Im still using F*A =# of muons penetrating person every second, and I am letting v=vertical velocity of muons. Also, I am picturing the incident muons as a steady stream. v*(1 second) =...
  2. J

    Find the probability that a muon is passing through your body this instant

    Homework Statement the flux of muons on the Earth's surface is about 100 muons per square meter per second. Estimate the probability that a muon is passing through your body this instant to within a factor of three attempt: let F = flux of muons on Earth's surface = 100/m^2/s let...
  3. J

    Eulers equation in cylindrical coordinates

    find the geodesics on a cylinder, where R^2 = x^2 + y^2 ---------------------------- so the goal is to find a function F, that gives the minimum distance between any two points on the cylinder. in cylindrical coordinates, dl = sqrt( ds^2 +(sdθ)^2 +dz^2 ) since we are on the surface...
  4. J

    Find time dependent torque needed to turn a wire loop in a uniform B field

    Homework Statement a single loop of wire with radius A is rotating in a uniform magnetic field at angular frequency ω. The loop of wire drives a current through a resistor R. Determine the torque as a function of time needed to turn the wire. Homework Equations 1) Emf = ∫Fmag.dl...
  5. J

    Electric Fields using Gauss' law

    the graph of rho vs z makes it seem the slab is centered at the origin. regardless, you want the middle of your gaussian surface to be aigned with the middle of the slab. this way, as the height of the box is increased equal amounts in +/_ z direction, there is an equal amount of charge in the...
  6. J

    Electric Fields using Gauss' law

    ∫E.da = μ_{o}∫ρdv the value of E at points located on the surface equals the integration of ρ (charge/unit volume) over any charge distribution that is inclosed by the surface where we are finding E so when we find E inside the slab, the gaussian box extends to a point z...
  7. J

    Electric Fields using Gauss' law

    gauss's law basically says that net flux through a surface is proportional to the enclosed charge. gauss's law is for symmetrical charge configurations (i.e. you want the electric field to be constant across the Gaussian surface. now your charge distribution is symmetric on the xy plane...
  8. J

    Amperes law: magnetic field inside an infinite slab containing a volume current.

    so I think I may have left out the most important piece of information to this problem: the slab is made of a diamagnetic material (linear media, magnetization antiparallel to B) then inside the slab, you apply amperes law for the auxilary field H B=μ_{o}(1+χ_{m})H where the magnetization M...
  9. J

    Amperes law: magnetic field inside an infinite slab containing a volume current.

    Homework Statement an infinite slab is centered on the xy plane. the top of the slap is at z=a/2, the bottom of the slab is at z= -a/2. A volume current (J) is set up within the slab. find B everywhere J = k (1 - z^2/a^2) \hat{y} Homework Equations amperes law The Attempt at a...
  10. J

    Magnetic field of a cylinder with magnetization M=ks^2

    1. Homework Statement [/b] this is griffiths 6.8 fyi. a long cylinder of radius R carries magnetization M=ks^2 \hat{∅}, k is a constant and s is the distance from the axis. \hat{∅} is the azimuthal unit vector. find the magnetic field inside and outside the cylinder. Homework Equations...
  11. J

    Quick question about Ampere's Law and Lorentz force law

    Right, I did misread. However these comments were are very helpful and I do understand it now thank you. lorentz law is sort of like coulombs law, and amperes is sort of like gausses law for magnetostatics. Thanks everyone!
  12. J

    Quick question about Ampere's Law and Lorentz force law

    Btw I am obtaining all these equations from chapter 5 of Griffiths text. Lorentz force law is: Fmag = ∫I(dI x B) Does this give the force on a current carrying wire due to an external magnetic field? (i.e. has nothing to do with own wires magnetic field) I think the answer is yes since the...
  13. J

    Two closely related questions about current density

    *The problem statement The second question kinda builds on the first and I am not too confident my solution to the first is correct. 1: A disk has a uniform surface charge density and is rotated at a rate 'w'. Find 'K'. 2: A uniformly charged sphere ('ρ') is spun. Find the current...
  14. J

    How to Calculate Torque on a Dipole Near a Grounded Plate

    the p term in E is the image dipole, E= p/(32*pi*z^3*eps.)*(2cos(theta) rhat +sin(theta) thetahat) then the torque is N = [sin(2theta)p^2 / (32*pi*eps.*z^3)] xhat and that's the answer That diagram helped a lot thank you. I previously made the mistake of thinking p points from + to...
  15. J

    How to Calculate Torque on a Dipole Near a Grounded Plate

    well, i think the image problem is as follows. a dipole p at z = +z, and a dipole p' at z=-z, where p' makes an angle - theta with the perpendicular to the plane To find the torque (N) on p, 1st find V as a function of z, then take the divergence to obtain E, then take the cross...
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