Two samples are located in a magnetic field at x=0 cm and x=5 cm. A 1 G/cm phase encoding gradient is applied in the +X-direction for 10 ms. How much phase will be acquired by the sample located at x=5 cm relative to that located at x=0 cm?

We use the equation derived from the resonance equation

f = 2p g x Gx t

f = acquired phase
g = gyromagnetic ratio = 42.58 MHz/T
x = position of sample
Gx = phase encoding gradient = 0.0001 T/cm
t = duration of the phase encoding gradient = 10 ms

f(x=0cm) = 0 radians

f(x=5cm) = 1337.69 radians = 5.65 radians = 324o