  We find new exact solutions to the Einstein-Maxwell field equations which are
relevant in the description of highly compact stellar objects. The relativistic
star is charged and anisotropic with a quark equation of state. Exact solutions
of the field equations are found in terms of elementary functions. It is
interesting to note that we regain earlier quark models with uncharged and
charged matter distributions. A physical analysis indicates that the matter
distributions are well behaved and regular throughout the stellar structure. A
range of stellar masses are generated for particular parameter values in the
electric field. In particular the observed mass for a binary pulsar is
regained.
