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Magnetic Forces on Current-Carrying Wires (in magnetic fields). Is answer correct?

  1. Feb 3, 2008 #1
    1. A horizontal magnetic field of 1.0 x 10^-4 T is at an angle of 30 degrees to the direction of the current in a straight, horizontal wire 75 cm long. If the wire carries a current of 15 A, what is the magnitude of the force on the wire?




    2.B be the magnetic field = 1.0 x 10-4 T

    Θ be the angle between the magnetic field and current = 300

    L be the length of the wire = 75 cm = 0.75m

    I be the current in the wire = 15 A

    F be the force in the wire ?



    From basic magnetic force

    F = qvB sin Θ

    F = q(L/t)B sin Θ

    F = (q/t)LB sin Θ

    F = I L B sin Θ




    3. F = 15 x 0.75 x 1.0x10-4 sin 300

    F = 11.25 x 10-4 sin 300

    F = 11.25 x 10-4 (1/2)

    F = 5.625 10-4 N

    F = 0.5625mN

    (Ans)
     
  2. jcsd
  3. Feb 3, 2008 #2
    Your algebra is fine, so as long as you didn't make a mistake punching in the numbers it looks good to me.
     
  4. Jan 15, 2009 #3
    Re: Magnetic Forces on Current-Carrying Wires (in magnetic fields). Is answer correct

    It should be [tex] sin\theta [/tex] i.e [tex]sin~{30^\circ}[/tex], you've made a typo. Otherwise, the answer is correct!
     
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