A solenoid 150 cm long has a radius of 4 cm. Approximately how many turns are needed to make the solenoid have a self-inductance of 0.004 H?
A. 9746 turns
B. 975 turns
C. 689 turns
D. 6892 turns

Respuesta :

Answer:

B.975 Turns

Explanation:

Given that

l = 150 cm

r= 4 cm

L = 0.004 H

A=πr²

We know that self inductance given as

[tex]L=\dfrac{\mu_o N^2A}{l}[/tex]

[tex]N=\sqrt{\dfrac{lL}{\mu_o A}}[/tex]

Now by putting the values

[tex]N=\sqrt{\dfrac{0.004\times 1.5}{4\times \pi \times 10^{-7}\times \pi \times 0.04^2}}[/tex]

N=974.62

Therefore the number of turns N= 975

The answer is B.