Question

A certain superconducting magnet in the form of a solenoid of length 0.300 m can generate a magnetic field of 8.90 T in its core when its coils carry a current of 95 A. Find the number of turns in the solenoid.

Answer 1

The number of turns in the solenoid is 22366.

Step-by-step explanation:

The number of turns in the solenoid can be found using the following equation:

`B = \mu_(0) I(N)/(L)`

Where:

B: is the magnetic field = 8.90 T

L: is the solenoid's length = 0.300 m

N: is the number of turns =?

I: is the current = 95 A

μ₀: is the magnetic constant = 4π×10⁻⁷ H/m

By solving equation (1) for N we have:

`N = (BL)/(\mu_(0) I) = (8.90 T*0.300 m)/(4\pi \cdot 10^(-7) H/m*95 A) = 22366 turns`

Therefore, the number of turns in the solenoid is 22366.

I hope it helps you!