Narrative:

Upon departing a non-towered field we have class C airspace at 1700 feet MSL. Our procedure and what I teach my students is to level off at 1500 feet MSL if 2-way contact has not yet been established with approach. One day; after numerous attempts to reach approach by my student; I keyed my microphone in an attempt to reach approach while at 1600 feet MSL. The controller responded with aircraft calling off the airport turn right 090 degrees immediately; and said we went under an air carrier aircraft. We never entered their airspace so we did not violate the charlie [airspace] nor could I see another aircraft at that position as I was traveling north while the other aircraft approached from my east; which placed them in my blind spot. They passed and we continued own navigation once ATC cleared us to do so.I think this could have been avoided by calling ATC sooner; however; I don't want to leave our CTAF too early; especially on a busy VFR day in the traffic pattern. Also; I think adjusting the altitude to 1300 feet MSL would help; but prefer not to for noise abatement. I would like the extra 200 feet if I have an engine problem. Also; I wish ATC would vector traffic further out from our non-towered field instead of bringing them right over the top of us.

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Original NASA ASRS Text

Title: A pilot departing a non-towered controlled airport climbing under Class C airspace reported being vectored away from air carrier traffic immediately upon contact with the TRACON.

Narrative: Upon departing a non-towered field we have Class C Airspace at 1700 feet MSL. Our procedure and what I teach my students is to level off at 1500 feet MSL if 2-way contact has not yet been established with Approach. One day; after numerous attempts to reach Approach by my student; I keyed my microphone in an attempt to reach Approach while at 1600 feet MSL. The controller responded with aircraft calling off the airport turn right 090 degrees immediately; and said we went under an air carrier aircraft. We never entered their airspace so we did not violate the Charlie [airspace] nor could I see another aircraft at that position as I was traveling north while the other aircraft approached from my east; which placed them in my blind spot. They passed and we continued own navigation once ATC cleared us to do so.I think this could have been avoided by calling ATC sooner; however; I don't want to leave our CTAF too early; especially on a busy VFR day in the traffic pattern. Also; I think adjusting the altitude to 1300 feet MSL would help; but prefer not to for noise abatement. I would like the extra 200 feet if I have an engine problem. Also; I wish ATC would vector traffic further out from our non-towered field instead of bringing them right over the top of us.

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.