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Homework Help: Magnetic Field Strength (Integral needed)

  1. Mar 2, 2010 #1
    1. The problem statement, all variables and given/known data

    You have 10 m of 0.55 mm diameter copper wire and a battery capable of passing 13 A through the wire. What magnetic field strength could you obtain inside a 2.8 cm diameter solenoid wound with the wire as closely spaced as possible?

    2. Relevant equations

    Turns of a solenoid = length of wire/ (2[tex]\pi[/tex] * radius of solenoid)

    B = ( [tex]\mu[/tex]*turns of a solenoid * Current)/([tex]\sqrt{}(4(radius of solenoid)^2+(radius of copper wire)^2[/tex] where [tex]\mu = 4\pi *10^-7[/tex]

    I believe thats right once you do the integration

    3. The attempt at a solution

    I tried to solve this and I got B = 0.27 T but it isn't right! I've tried over and over again, but I can't see to get the right answer.

    1. The problem statement, all variables and given/known data

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
  3. Mar 2, 2010 #2


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    Homework Helper

    Why do you need integration? Can't you use the formula for the magnetic field inside a solenoid?
  4. Mar 2, 2010 #3
    Well...you could be right. How would you do that?
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