What field strength produces a resonant frequency of 42.6 MHz?

To find the magnetic field strength that produces a resonant frequency of 42.6 MHz, we can utilize the Larmor equation, which relates resonant frequency (f) to magnetic field strength (B) through the formula:

[ f = \gamma B ]

Here, ( \gamma ) (the gyromagnetic ratio for hydrogen) is approximately 42.58 MHz/T. To determine the field strength that corresponds to the frequency of 42.6 MHz, we can rearrange the equation and solve for B:

[ B = \frac{f}{\gamma} = \frac{42.6 , \text{MHz}}{42.58 , \text{MHz/T}} ]

Calculating this gives us:

[ B \approx 1.002 , T ]

This closely aligns with 1.0 Tesla when rounded to one decimal place, confirming that a magnetic field strength of approximately 1.0T produces a resonant frequency of 42.6 MHz.

Understanding this relationship is crucial for MRSE practice as it enables one to calculate resonant frequencies based on given magnetic field strengths and is fundamental to operating MRI systems safely and effectively.