What is the calculated force product of a static magnetic field of 3T and a magnetic spatial gradient of 1T/m?

The concept of calculating the force product involving a static magnetic field and a magnetic spatial gradient derives from the formula that describes the interaction of a magnetic field with magnetic materials or charges. In this context, the force experienced by a magnetic material can be expressed as the product of the magnetic field strength and the magnetic gradient.

To find the force product, the static magnetic field strength (measured in Tesla, T) is multiplied by the magnetic spatial gradient (measured in Tesla per meter, T/m). For this question, you have a magnetic field strength of 3 T and a spatial gradient of 1 T/m. When you perform the multiplication:

3 T × 1 T/m = 3 T²/m.

This calculation leads to the result of 3 T²/m, which corresponds to the correct answer. The correct interpretation of how magnetic fields and gradients combine is critical for understanding their effects in MR environments, particularly for safety and operational procedures in MRI. Thus, the answer reflects the fundamental principle of how these magnetic properties interact to exert force.