Ask Question
23 February, 11:20

You have a 2.2 m long copper wire. you want to make an n-turn current loop that generates a 1.9 mt magnetic field at the center when the current is 2.3

a. you must use the entire wire.

+3
Answers (1)
  1. 23 February, 13:46
    0
    The trick here is that there are two variables, Diameter of the coil and number of turns in it. So, in order to solve it, we will need two equations in D and N

    Since we are making coil, formula for magnetic field will be B = μₒni/D

    D = μₒni/B = 4π x 10^ (-7) x (N) x (2.2) / (1.6) x10^ (-3) = 1.7 x 10^ (-3) x N = D

    Another equation will be from the wire's length.

    Total length = Circumference of one loop x No. of turns = πD x N = 2.2

    We will eliminate N because we need D.

    N = 2.2 / πD

    Substitute in 1st equation.

    1.7 x 10^ (-3) x 2.2 / π = D^2

    D = 0.034 m = 3.4 cm
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “You have a 2.2 m long copper wire. you want to make an n-turn current loop that generates a 1.9 mt magnetic field at the center when the ...” in 📙 Physics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers