Spoiled gradient echo sequences can only reach a homogeneous steady state if sufficiently strong crusher gradients are used in combination with RF phase cycling (RF spoiling). However, the signal depends quite sensitively on the chosen phase increment and-lacking analytical solutions-numerical simulations must be used to study the transient and steady-state magnetization. For the steady state an exact analytical solution is derived, which holds for arbitrary sequence and tissue parameters. Besides a considerably improved computation performance, the analytical approach enables a better understanding of the complicated dependence on . For short repetition times (TR) the regime of small turns out to be particularly interesting: It is shown that the typical c , where RF spoiling starts to become effective, is essentially inversely proportional to T 2 . This tissue dependence implies that contrasts can be considerably larger with partial spoiling ( Ϸ c ) than with conventional RF spoiling ( Ͼ Ͼ c ). As an example, the uptake of contrast agents in tissues is investigated.