A one-dimensional MRI gradient maps position to resonance frequency. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

The gradient changes field by position

The field values are 1 T, 2 T, and 3 T in this one-dimensional training line.

B(z)=B0+GzB(z)=B_{0}+Gz
Gradient encodingPosition changes field strength and resonance frequency.field grows

Frequency follows field

With gamma 10 Hz/T, the frequencies are 10 Hz, 20 Hz, and 30 Hz. The gamma value is schematic, not a real nuclear constant.

f=γB,30 Hzf=\gamma B,\quad 30\ \text{Hz}
Gradient encodingPosition changes field strength and resonance frequency.field grows