You would like a solenoid that is 32 cm long to produce a magnetic field of 0.78 T when it carries a
current of 7.7 A. How many loops should this solenoid have?

Respuesta :

Answer:

N = 25795 loops

Explanation:

The magnetic field of a solenoid can be calculated by using the following formula:

[tex]B = \frac{\mu NI}{L}\\N = \frac{BL}{\mu I}[/tex]

where,

N = No. of loops = ?

B = Magnetic Field = 0.78 T

L = Length of solenoid = 32 cm = 0.32 m

I = Current = 7.7 A

μ = permeability of free space = 4π x 10⁻⁷ N/A²

Therefore,

[tex]N = \frac{(0.78\ T)(0.32\ m)}{(4\pi\ x\ 10^{-7}\ N/A^2)(7.7\ A)}\\[/tex]

N = 25795 loops