All sources produce Electromagnetic fields. That is the combination of Electric and Magnetic fields. In reality Electric and Magnetic fields always exist together. Theoretically we can say that Electric & Magnetic fields can be separated in in static case.
In a Static field case, all charges are fixed in space (they do not move as in real life time varying field). As a result of these fixed charges, current is constant (dq/dt= K) and the strength of Electric field generated is the function of value and geometry of all charges. Such an electric current is also known as Steady state current, whose Electric & Magnetic fields are constant in time with same wave number.