Thanks for all the posts here. Last night my Beckett burner quit and the house was getting cool. I tested the transformer as was described somewhere on the internet by pushing an insulated screwdriver across one of the terminals of the transformer and approach the other. At about a 1 inch gap beteween the screwdriver tip and the terminal the screwdriver was not touching, there should have been an arc. There was no arc, even as the screwdriver tip got closer to the terminal. This test seems ti replicate what the electrodes do. So I called my plumbing and heating supply store and got a transformer for about $70. I picked it up, got home, installed it and tested it with the screwdriver and yes, an arc was produced. I put everything back together and it fires up like a dream.