Is the power supply the same for different processor types?

I have this A1312 27” mid 2011 iMac, currently running a 2.6 GHz i5 processor. I want to upgrade the processor to the max possible spec, a 3.4 GHz i7. That’s a 95 watt processor and the stock processor is a 65 watt device. Does anyone know if this upgrade will require a different power supply board, and if so, do you know the part number for it?

Also, the max processor for this unit as provided by Apple is the 2700K. Given how Apple is about restricting aftermarket upgrade options, I don’t think it would be productive to try to upgrade beyond the max system spec and processor that Apple ever offered this particular version of iMac in. So the 2700K processor is as far as I’m willing to go. Even though there are newer and faster LGA 1155 processors to be had. Sadly, I would not expect them to be viable options.