Question

A cylindrical solenoid (radius r=0.6 m, turns N=600, length l=0.5 m) carries 15 A of current. What is the inductance L of the coil in Henries (Hint: use the infinite length approximation for Bsol)?

Answer 1

Answer:

L = 1.023 H

Explanation:

given,

radius of the cylindrical solenoid = r = 0.6 m

Number of turns = N = 600

Length = l = 0.5 m

Current in the cylindrical solenoid = 15 A

Inductance in the coil = ?

using formula

$L = \dfrac{\mu_0\ N^2\ A}{l}$

$L = \dfrac{4 \pi \times 10^{-7}\times 600^2\times \pi r^2}{0.5}$

$L = \dfrac{4 \pi \times 10^{-7}\times 600^2\times \pi 0.6^2}{0.5}$

$L = \dfrac{4 \pi \times 10^{-7}\times 600^2\times \pi 0.6^2}{0.5}$

L = 1.023 H

the inductance L of the coil is = 1.023 H