Should my landlord reimburse part of my high electric bill(s)due to a broken water heater?

Did you document the date and time you notify the maintenance's man. Also do you have anything in writing? If not it will be hard for courts to get you reimbursed it is a 50 50 chances if you take it that far. Just type a letter advising of the history and let them know your electric bill has been high due to this. Request you are looking for reimbursement based on it. Also keep the documentation about it has been leaking and continue to save your electric bill since repair has been done to prove it has been water heater all along.