Should I have to pay for the second crown?

I am not sure why you would need another crown after the root canal. Typically, a small access hole is made for the root canal procedure.  Once completed,  it is filled with a composite leaving the crown intact.  If your case is unique and a new crown is recommended, then I would have a discussion with your dentist about payment. Each office is different concerning this issue.  Good luck.  

Each office has a different policy about this situation. A discussion between you and your dentist will usually give a positive outcome. I hope this helps.

Unfortunately, there are times when a new crown is placed and the tooth requires a root canal after the crown has been cemented.  This results in a hole being drilled through the top of the crown and may require a new crown to be made.  In regards to costs involved with the remake of the crown, that is a discussion you will need to have directly with the treating dentist.Best regards, Dr. Scott Pope

Crowns are done, usually, due to large fillings, decay and/or fractures.  Prepping teeth for a crown can lead to the need for a root canal treatment and it is no reflection of the dentist.  It happens to us all.  So, unfortunately, it is your responsibility to pay for the next crown.  You can usually wait some time and even long enough for insurance to help.  Sorry, I know that is not what you wanted to hear but it is impossible for us to predict the need for every root canal treatment.  Good luck to you!