Nct TRACON controller reported that an aircraft was inadvertently held at 3000 feet in a 4100 foot M...

Narrative:

Aircraft X departed san carlos and was handed off to me on radar vectors. I vectored the aircraft north of sjc because there were departures released off of sjc climbing to 5000 ft during west plan operations. When aircraft X was far enough to the north of the airport; I turned it eastbound. I got distracted by a VFR hand off from the southeast at 10;500 ft MSL that was in the way of all the sjc departures. I resolved the situation to the southeast; and when I scanned back to see where aircraft X was; I saw that it had entered the 4100 ft MVA at 3000 ft. I immediately climbed the aircraft to 5000 ft with the request to expedite the climb. Aircraft X complied with a quick climb above the MVA.when there are low ceilings in the sjc area; the amount of IFR departures from sql; pao; nuq; and rhv increase significantly. I would recommend that management personnel keep a abreast of weather conditions; and assign a hand off position before peak traffic starts. Extra sets of eyes could help minimize situations like this.

Original NASA ASRS Text

Title: NCT TRACON Controller reported that an aircraft was inadvertently held at 3000 feet in a 4100 foot MVA area.

Narrative: Aircraft X departed San Carlos and was handed off to me on radar vectors. I vectored the aircraft north of SJC because there were departures released off of SJC climbing to 5000 ft during west plan operations. When Aircraft X was far enough to the north of the airport; I turned it eastbound. I got distracted by a VFR hand off from the southeast at 10;500 ft MSL that was in the way of all the SJC departures. I resolved the situation to the southeast; and when I scanned back to see where Aircraft X was; I saw that it had entered the 4100 ft MVA at 3000 ft. I immediately climbed the aircraft to 5000 ft with the request to expedite the climb. Aircraft X complied with a quick climb above the MVA.When there are Low ceilings in the SJC area; the amount of IFR departures from SQL; PAO; NUQ; and RHV increase significantly. I would recommend that management personnel keep a abreast of weather conditions; and assign a hand off position before peak traffic starts. Extra sets of eyes could help minimize situations like this.

Data retrieved from NASA's ASRS site and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.

Attributes
ACN	1468243
Time
Date	201707
Local Time Of Day	0601-1200
Place
Locale Reference	NCT.TRACON
State Reference	CA
Environment
Light	Daylight
Aircraft 1
Make Model Name	Small Transport
Operating Under FAR Part	Part 135
Flight Phase	Climb
Route In Use	Vectors
Flight Plan	IFR
Person 1
Function	Departure Approach
Qualification	Air Traffic Control Fully Certified
Experience	Air Traffic Control Time Certified In Pos 1 (yrs) 9.5
Events
Anomaly	ATC Issue All Types Deviation - Procedural Clearance Deviation - Procedural Published Material / Policy Inflight Event / Encounter CFTT / CFIT

Nct TRACON controller reported that an aircraft was inadvertently held at 3000 feet in a 4100 foot MVA area.