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Chapter 4: Q72PP (page 1019)

How many turns does this typical MRI magnet have?
(a) 1100; (b) 3000; (c) 4000; (d) 22,000.

Short Answer

Expert verified

This Typical MRI Magnet has 3000 turns.

Step by step solution

01

Important Concepts

Magnetic Field of a solenoid is given byB=渭0Nil

Where N the total number of turns in the solenoidis the current through the solenoid and l is the total length of the solenoid

Self-inductance of a solenoid is given by L=NBAi

Where L is the inductance B is the magnetic field and A and i are the area and current respectively

02

Applying these concepts

Isolate the value of the magnetic field from the self-inductance formula

L=NBAiB=LiNA

Equate this to the Magnetic field produced by the solenoid\

B=渭0Nil渭0Nil=LiNA

Cross Multiply

N2=lLA渭0N=lLA渭0

Plug the values of all the variables and we getN=3000

Hence the MRI magnet has 3000 turns

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