A Tasmanian woman who was caught having sex with an underage boy on a camera set up to film paranormal activity will spend at least six months in jail.

The 28-year-old woman from Tasmania's east coast pleaded guilty in the Supreme Court in Hobart to having sex with the then-16-year old boy between October and November last year.

The court was previously told the boy's father discovered the sexual relationship when he reviewed video from a camera he had set up to try and capture paranormal activity.

In sentencing, Justice David Porter told the court the woman's conduct was aggravated by the fact she travelled to the west coast to have sex with the boy again, despite being told by police her conduct was illegal.

She was sentenced to 12 months jail but will serve only six months on condition she be of good behaviour for two years.