Just warning you OP I had the same plan and most physics grad programs don’t want engineers. My EE degree did not go over quantum, classical, thermo, etc. in sufficient detail to take the GRE or be a suitable foundation for grad courses. Most of your classes will revolve around circuits. You’ll have to self study these things which will be a huge extra curricular time sink. Even if you’re self studied a lot of programs won’t give a shit because you have no “proof” I.e. a physics bachelors. If you want to do physics I’d recommend just doing physics for undergrad, but be aware that the BSc in physics is worthless without a grad degree, and also that the EE degree will significantly cripple your physics grad potential. Not only will getting into grad be harder than necessary playing “catch up” in the grad courses is no fun
Also,
>physics PhD
>well paying job
If you’re in it for money you’re better off just getting the bachelors and sticking with it. I’d be making more money with an EE bachelors than with a physics PhD but the latter is less mind numbing
t. EE bsc doing materials physics PhD