Say it cost $500 and has 10 yr life. Its value therefore depreciates by $50 per annum. If we assume 4 years have passed at the point you damaged
The depreciation principle may be right (although I’m not sure that it equates with carpets) but there are a lot of assumptions based on dubious figures here. The smallest standard “no-name” induction stove is going to cost upwards of $800. If it’s a name brand, you can double that.
Drant should ask when the landlord bought the stove and how much they paid for it. Then they can start the arm wrestle of who pays how much for what.