Question

Imagine you are running an MRI machine whose solenoid is 1.0 m in length and that has 23,800 turns of wire. The wire can carry a maximum current of 100 A. 1. What is the maximum magnitude of the magnetic field the solenoid can create? Show your work.

Answer 1

Maximum magnetic field will be 0.288 T

Step-by-step explanation:

We he given number of turns in solenoid N = 23800

Length of the solenoid l = 1 m

So number of turns per unit length in the solenoid
`n=(N)/(l)=(23800)/(1)=23800`

Maximum current in solenoid i = 100 A

Magnetic field due to solenoid is equal to
`B=\mu _0ni`

`B=4\pi * 10^(-7)* 23800* 100=0.288T`

As the current is maximum so magnetic field will be also maximum

So maximum magnetic field will be 0.288 T