Somerset started this morning on 151-8 but could only add thirty two runs to their total before Imran Tahir mopped up the final wickets to give himself figures of 6-58 from 17.4 overs.
The 183 all out meant that Warwicks, who have had big collapses in their last few County Championship innings, required 312 to win.
It looked a formidable target when Darren Maddy was out after scoring only three runs from the twelve balls he faced.
Ian Westwood and Varun Chopra (or Tidz as he is nicknamed) came in and put on 57 before Westwood, who had made 22 was caught by Kieswetter. Chopra continued to add runs before he followed Jim Troughton (7), when he was out for 46 to leave Warwicks on 89-4.
Rikki Clarke was out for one and Ant Botha without scoring to see Warwicks on 117-6 when a heavy storm temporarily suspended play for a couple of hours.
Play did resume and Chris Woakes was soon out for 21,trapped lbw for Kartik's fourth wicket. Richard Johnson was out for ten.
The slump was on and Kartik took the wickets of Imran Tahir and Andrew Miller to see Warwicks all out for 130.
Warwickshire are in Twenty/20 action at Derbyshire on Wednesday. The game is live on Sky and commentary is also on BBC Coventry & Warwickshire via their website.
In the test match, England wrapped up a victory against Bangladesh to take a two-nil series victory.
Bangladesh were forced to follow on and against Steven Flinn, they struggled. Only Mahmudullah offered any resistance making 38 as Flinn took five wickets to see the visitors all out for 123 and a victory for England by an innings and eighty runs.
Coventry born Ian Bell was voted as Player Of The Match.