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?​

Answer 1

The magnetic field is 24.2 mT.

Step-by-step explanation:

The magnetic field can be calculated with the following equation:

`B = (\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 = (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!