1996 Sprint 900 cut out problem

Hello, I'm new to Triumph Forum but hope I can get some help here. I purchased a 1996 900 Sprint 2 months ago and have ridden over 1000 trouble free miles. Now though I am scratching my head. Bike starts on the button and off I set but after a mile or so the engine just cuts out! No coughing or spluttering it just dies as if the Kill switch has been pressed.As soon as the engine cuts the ignition lights come on. Press starter button and the engine turns over no problem but will not start. Leave it for 15 mins or so and it starts first touch of the starter button. Travel another mile or so and it cuts again! leave for 15 mins and it starts no problem! Plenty of petrol in the tank but don't think the problem is fuel related. I am not very technically minded so am at a loss as to what this problem is. Can anyone on this Forum offer some advice :frown:

 

Thank you Steve and Dave. Will order one in the morning. Thanks for such a fast response
Cheers Guys

 

Thanks again Steve, I used the link and ordered the part so hopefully will be running properly Monday or Tuesday

 

Just wanted to say thanks for the help and advice. Fitted the new pick-up coil this morning in about 35 mins (easy job even for me!) Took the bike for a spin and all is well. Went about 8 or 9 miles without engine cutting out once! Once again thanks for the advice/.