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

φ = 2π γ x Gx τ

Where:
φ = acquired phase
γ = gyromagnetic ratio = 42.58 MHz/T
x = position of sample
Gx = phase encoding gradient = 0.0001 T/cm
τ = duration of the phase encoding gradient = 10 ms

φ>(x=0cm) = 0 radians

φ(x=5cm) = 1337.69 radians = 5.65 radians = 324°