An electrostatic collector including: a collection chamber delimited by a tubular wall oriented along a first axis; a collection electrode configured to be disposed inside the collection chamber against the wall; a discharge electrode, of elongate form, that extends along the first axis and includes an end, in a shape of a tip, the end being disposed opposite the collection electrode; a first part of a first diameter, emerging on the tip-shaped end, a second part of a second diameter, the second diameter being greater than or equal to twice the first diameter, the second diameter for example being between 2 and 6 times the first diameter; and a sudden widening, extending between the first part and the second part.