Coplanar wave-guide grounded lines (CPWG) have been designed, realized by micromachining of high resistivity silicon wafers and tested up to 40 GHz. Different configurations have been compared between them by changing the dimensions of the micro-machined via-holes used for the ground connection, as well as their number and separation, to get the optimal electrical matching conditions. Wide-band matching and losses as low as 0.1-0.2 dB/mm have been obtained within the 40 GHz range, in agreement with the predicted behaviour.