A solenoid has length L = 1.23m and inner diameter d=3.55cm and it carries a current i = 5.57 A, It Consists of five cl

Question

A solenoid has length
L = 1.23m and inner diameter
d=3.55cm and it
carries a current i = 5.57 A, It
Consists of five close-packed
layers, each with 850 turns along
length L. what is B at its centre?​

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Khang Minh 4 years 2021-07-27T03:31:15+00:00 1 Answers 1313 views 2

Answers ( )

  1. lethu
    1
    2021-07-27T03:32:21+00:00
    Reply

    Answer:

    The magnetic field is 24.2 mT.

    Explanation:

    The magnetic field can be calculated with the following equation:

    B = \frac{\mu_{0}iN}{L}

    Where:

    i: is the current = 5.57 A

    N: is the number of turns = 5*850 turns (it is five close-packed)

    L: is the length = 1.23 m

    \mu_{0}: is the permeability = 4π*10⁻⁷ T*m/A          

    Hence, the magnetic field is:

    B = \frac{4\pi \cdot 10^{-7} T*m/A*5.57 A*5*850}{1.23 m} = 0.0242 T = 24.2 mT

    Therefore, the magnetic field is 24.2 mT.

    I hope it helps you!                                  

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