1. Not finding help here? Sign up for a free 30min 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!

Magnetic field qs

  1. Jun 4, 2007 #1
    1. The problem statement, all variables and given/known data

    A particle (q = 5.0 nC, m = 3.0 µg) moves in a region where the magnetic field has components Bx = 2.0 mT, By = 3.0 mT, and Bz = -4.0 mT. At an instant when the speed of the particle is 5.0 km/s and the direction of its velocity is 120° relative to the magnetic field, what is the magnitude of the acceleration of the particle?

    a. 33 m/s2
    b. 17 m/s2
    c. 39 m/s2
    d. 25 m/s2
    e. 45 m/s2

    2. Relevant equations

    ma = F = q.v.b.sin(theta)

    3. The attempt at a solution

    im not entirely sure if i have done this correctly...but here goes.
    to make tings easy...
    firstly...Bxyz = 5.4mT ???
    and...3ug = 3 x 10^(-9) ???

    a = ((5nc)(5000)(5.4mT)(sin 120))/(3ug)

    pluggin all values gives me...c) 39 m/s2 ???

    wat do yall think? have i done anything wrong?
     
  2. jcsd
  3. Jun 4, 2007 #2

    Astronuc

    User Avatar

    Staff: Mentor

    It seems to be correct with the information given, but it would be helpful if one would write out all the units to make sure that one understands the orders of magnitude (powers of 10).

    The force is a vector related to the cross product of the velocity and magnetic field. In 2D, one vector is at a unique angle to another, but in 3D, it is more complicated because the one angle between two vectors lies in a cone.

    Normally one would have
    [tex]\\ \vec{F} = det \left( \begin{array} \hat{x} & \hat{y}& \hat{z} \\v_x & v_y & v_z\\B_x & B_y & B_z\end{array}\right)[/tex]

    and |v| = [tex]\sqrt{{v_x}^2\,+\,{v_y}^2\,+\,{v_z}^2}}[/tex]

    and similarly for the vector for B.
     
    Last edited: Jun 4, 2007
  4. Jun 7, 2007 #3
    I would not think I would go and write them all out in this case, makes it too complex and unnecessary.
    ur solution look quite right to me
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Magnetic field qs
  1. Magnetic field (Replies: 4)

  2. Magnetic Field (Replies: 0)

Loading...