Recent content by Oshada

  1. O

    Lagrangian of a particle moving in a cone

    Homework Statement Homework Equations Euler-Lagrange equations of motion The Attempt at a Solution Part a): Particle must move on surface (one constraint). Number of generalised coordinates = 3N - K where N = number of particles and K = constraints. Therefore 2 generalised coordinates are...
  2. O

    What is the Relationship Between Electron Energy and Acceleration Voltage?

    Again, I have forgotten that electrons having an energy of 50 MeV have been accelerated across 50 MV. Thanks!
  3. O

    What is the Relationship Between Electron Energy and Acceleration Voltage?

    Yup, got it. Part c) ?
  4. O

    What is the Relationship Between Electron Energy and Acceleration Voltage?

    Thank you very much, I forgot the elementary relation Q = it. I got 3.1 * 10^11 electrons for a) which is the right answer :) For part b), do we just divide average current per pulse by number of pulses per second?
  5. O

    What is the Relationship Between Electron Energy and Acceleration Voltage?

    i = dQ/dt, but I can't figure out how to derive/integrate here :(
  6. O

    What is the Relationship Between Electron Energy and Acceleration Voltage?

    Homework Statement Homework Equations The Attempt at a Solution I'm at a loss as to starting the problem. Any help is appreciated!
  7. O

    Magnetic Field in Solenoid question

    Bump. Anyone?
  8. O

    Magnetic Field in Solenoid question

    Homework Statement Your physics lab demonstrator hands you a spool of copper wire and a battery (voltage V) and asks you to wind the wire around a hollow, cylindrical, cardboard tube (radius a) to make a solenoid of length 2L. a) What is the amplitude of the magnetic field at the centre...
  9. O

    Iteration/Root finding algorithm

    Bump: Any ideas about b) are welcome.
  10. O

    Limit theorems and determining convergence

    Can it be... 0?!
  11. O

    Limit theorems and determining convergence

    Thanks for the replies! I'm having some trouble manipulating the denominator of a). For b), I can see that whenever n>3 the sin term is 0. Since the (-1)^n-1 oscillates, does the expression diverge by unbounded oscillation? For c), I can simplify it up to x^(3 - logx). After that I...
  12. O

    Limit theorems and determining convergence

    Homework Statement The Attempt at a Solution I'm having some trouble getting my head around these 3 problems. Any ideas on how to approach them are welcome.
  13. O

    Iteration/Root finding algorithm

    Sorry, I meant how to show that the only possible value for limn→∞xn is cbrt(λ)! Also, if you could explain how to solve ii) of b) that would be great!
  14. O

    Iteration/Root finding algorithm

    Homework Statement The Attempt at a Solution I've managed to do part a), by factorising the cubic you get when you rearrange the terms. I'm mostly stumped for part b). I know the sequence has to be contractive, otherwise it wouldn't converge. Also, how do I show it's the only...
  15. O

    Solving ϵ-N Proofs: Simplifying the Denominator with sqrt(2)

    Thank you very much! Does the limit go to 0? I got 0 from both N and limit theorems (N was sqrt(20/ϵ))
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