A particular magnetic resonance imager uses a 1 G/cm frequency encoding gradient to produce an image with an 8 cm FOV. What quadrature sampling rate should be used to produce this FOV when imaging hydrogen?

The FOV is related to the quadrature sampling rate by the following equation which was derived from the resonancce equation.

FOV = fs / (g Gf)

fs = FOV g Gf

fs = (8 cm) (42.58 MHz/T) (0.0001 T/cm)

fs = 34.064 kHz