1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Binomial expansion of relativistic formula

  1. May 4, 2010 #1
    1. The problem statement, all variables and given/known data
    The speed v of electrons from a high energy accelerator is very near the speed of light c. Given the voltage V of the accelerator, calculate the ratio v/c. The relativistic formulafor this calculation is (see relevant equations)

    Use the binomial series to find (1-v/c) in terms of V


    2. Relevant equations

    v/c = (1-(1/4V^2))^0.5


    3. The attempt at a solution

    v/c = (1-(4v^2)^-1)^0.5 = (approx) [1- (1/8V^2) + (3/128V^4) - (15/3072V^6)]

    therefore;

    1-v/c= (1/8V^2) - (3/128V^4) + (15/3072V^6) = 1.25x10^(-17)
     
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted