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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?​

Sagot :

whitneytr12

Answer:

The magnetic field is 24.2 mT.

Explanation:

The magnetic field can be calculated with the following equation:

[tex] B = \frac{\mu_{0}iN}{L} [/tex]

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

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

Hence, the magnetic field is:

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

Therefore, the magnetic field is 24.2 mT.

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