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

Answer:    

Maximum magnetic field will be 0.288 T

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 $n=\frac{N}{l}=\frac{23800}{1}=23800$

Maximum current in solenoid i = 100 A

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

$B=4\pi \times 10^{-7}\times 23800\times 100=0.288T$

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

So maximum magnetic field will be 0.288 T