Question

The magnetic field produced by the solenoid in a magnetic resonance imaging (MRI) system designed for measurements on whole human bodies has a field strength of 7.78 T, and the current in the solenoid is 2.35 × 102 A. What is the number of turns per meter of length of the solenoid?

Answer 1

Answer -

Given,

Magnetic Field = 7.78 T

Current in Solenoid = 2.35 * 102 A

Numer of turns per unit Length = ?

We know that,

B = * (N/L) * I

where,

B = Magnetic Field

N = Number of turns

L = Length

= 4 * 10-7 T/A m

I = Current

Put the values,

7.78 T = 4 * 10-7 T/amp m * (N/L) * 2.35 * 102 A

7.78 T = 4* 3.14 * 10-7 T/amp m * (N/L) * 2.35 * 102 A

7.78 T = 29.516 * 10-5 T m​​​​​​​ * (N/L)

(N/L) = 7.78 T / 29.516 * 10-5 T m​​​​​​​

(N/L) = 26358.58 m-1​​​​​​​ [ANSWER]