A 590-turn solenoid is 12 cm long. The current in it is 36 A . A straight wire cuts through the center of the solenoid, along a 4.5-cm diame

Question

A 590-turn solenoid is 12 cm long. The current in it is 36 A . A straight wire cuts through the center of the solenoid, along a 4.5-cm diameter. This wire carries a 27-A current downward (and is connected by other wires that don’t concern us).
What is the magnitude of the force on this wire assuming the solenoid’s field points due east?

in progress 0
Thiên Ân 4 years 2021-08-08T12:13:39+00:00 1 Answers 49 views 0

Answers ( )

  1. Sigrid
    0
    2021-08-08T12:15:00+00:00
    Reply

    Complete Question

    A 590-turn solenoid is 12 cm long. The  current in it is 36 A . A 2 cm straight wire cuts through the center of the solenoid, along a 4.5-cm diameter. This wire carries a 27-A current downward (and is connected by other wires that don’t concern us).

    What is the magnitude of the force on this wire assuming the solenoid’s field points due east?

    Answer:

    The force is  F = 0.1602 \ N

    Explanation:

    From the question we are told that

       The number of turns is  N = 590 \ turns

       The  length of the solenoid is  L = 12 \ cm = 0.12 \ m

       The current is  I = 36 \ A

       The  diameter is  D = 4.5 \ cm = 0.045 \ m

       The  current carried by the wire is  I = 27 \ A

        The  length of the wire is  l = 2 cm = 0.02 \ m

    Generally the magnitude of the force  on this wire assuming the solenoid’s field points due east is mathematically represented as

               F = B * I * l

    Here  B  is the magnetic field which is mathematically represented as

              B = \frac{\mu_o * N * I }{L}

    Here   \mu _o is permeability of free space with value  \mu_ o = 4\pi *10^{-7} \ N/A^2

    substituting values

             B = \frac{4 \pi *10^{-7} * 590 * 36 }{ 0.12}

               B = 0.2225 \ T

    So

          F = 0.2225 * 36 * 0.02

          F = 0.1602 \ N

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )