What equation is used to calculate the center frequency for a specific field strength?

The Larmor equation is essential for calculating the center frequency of magnetic resonance imaging (MRI) at a specific magnetic field strength. It states that the precessional frequency of a magnetic moment, such as that of protons in a magnetic field, is directly proportional to the strength of that magnetic field.

The equation is expressed as:

[ f = \gamma B ]

where ( f ) is the frequency, ( \gamma ) is the gyromagnetic ratio specific to the type of nucleus being imaged (for example, hydrogen), and ( B ) is the magnetic field strength in teslas.

This relationship allows practitioners to determine the frequency required for resonating specific nuclei when exposed to different magnetic field strengths. Thus, the Larmor equation serves a vital role in MRI technology, enabling precise tuning of the system to resonate with the intended signals from tissues of interest.

The other responses do not serve this purpose. Ohm's law pertains to electrical circuits and does not relate to magnetic resonance. Stating that this cannot be done ignores the established equations governing the principles of magnetic resonance. Maxwell's equations describe electromagnetic fields more generally and do not specifically address the relationship between magnetic field strength and resonance frequency in the context of MRI.