After early employments e.g. at GE Reentry Systems, he joined Philbrick Nexus in Massachusetts working on IC development with Bob Pease.

He resigned the position as Director of Advanced Circuit Development at NSC in July 1981 and co-founded Linear Technology with Robert H. Swanson in the same year.

Dobkin continued to serve as the company's Chief Technical Officer through its acquisition by Analog Devices in 2016.

[1] In 2021 Dobkin was charged by the SEC with insider trading for sharing non-public information regarding the merger of Analog Devices and Linear Technology.

[6] Dobkin was found guilty and ordered to pay a fine of $252,092.16 and barred from serving as an officer or director of a publicly traded company.