Given the parameters, what is the maximum dB/dt for G=80mT, Gmax=40mT/m and rise time=0.2ms?

To determine the maximum dB/dt given the parameters of gradient strength (G), maximum gradient (Gmax), and rise time, it is essential to understand the relationship between these variables.

The rate of change of the magnetic field (dB/dt) can be calculated using the formula:

[ dB/dt = G \times (Gmax / rise , time) ]

In this case:

• G = 80 mT = 0.08 T
• Gmax = 40 mT/m = 0.04 T/m
• rise time = 0.2 ms = 0.0002 s

Now, substituting these values into the equation:

1. First, calculate Gmax/rise time: [ Gmax / rise , time = 0.04 T/m / 0.0002 s = 200 T/m/s ]

2. Now multiply this value by G: [ dB/dt = 0.08 T \times 200 T/m/s = 16 T/s ]

Upon reviewing this calculation, if we assume a conversion or scaling factor in the question regarding the units (for instance, focus on the practical maximum rate of