The Magnetic Field Produced by an MRI Solenoid

What is the magnetic field produced at the center of the MRI solenoid?

An MRI (Magnetic Resonance Imaging) solenoid produces a magnetic field of 1.7 T. The solenoid is 2.5 m long, 1.0 m in diameter, and wound with insulated wires 2.5 mm in diameter.

Answer:

The magnetic field at the center of the solenoid of the MRI machine, as given in the problem statement, is 1.7 T.

The magnetic field strength inside a solenoid (a coil of wire) with a certain configuration can be calculated using the formula B = μon. In the case of this MRI solenoid, it's stated that the magnetic field it produces is 1.7 T (tesla). Technically, this value is already the magnetic field strength right at the center of the solenoid.

In this context, B represents the magnetic field strength, μo is the permeability of free space, and n is the number of turns per unit length in the coil. However, since the problem already provides the value of B as 1.7 T, it implies that this is the exact magnetic field strength at the center of the solenoid given its current configuration. If you wanted to calculate n, the number of turns per unit length, or other parameters, you would need additional information.

Therefore, the magnetic field produced at the center of the solenoid from this MRI machine would be 1.7 T.