  The present work investigates the acceleration of test particles in balanced
and imbalanced Alfv\'{e}nic turbulence, relevant to the solar-wind problem.
These turbulent states, obtained numerically by prescribing the injection rates
for the ideal invariants, are evolved dynamically with the particles. While the
energy spectrum for balanced and imbalanced states is known, the impact made on
particle heating is a matter of debate, with different considerations giving
different results. By performing direct numerical simulations, resonant and
non-resonant particle accelerations are automatically considered and the
correct turbulent phases are taken into account. For imbalanced turbulence, it
is found that the acceleration rate of charged particles is reduced and the
heating rate diminished. This behaviour is independent of the particle
gyroradius, although particles that have a stronger adiabatic motion (smaller
gyroradius) tend to experience a larger heating.
