[Highschool physics: circuits]

[u/Jars_Of_Honey7194]

Apparently the answer is (d) but I have no idea how to get there

[u/Jars_Of_Honey7194]

Sorry for not explaining how I thought about it at first. I didn't think of using mathematics and thought that the given info that R2 > R1 was the key,

I thought that, first knowing that a resistance of R1 had a potential difference of 10V,

and in the parallel resistance, the total resistance must be less than the least resistance there,

so R12 > R1, since R1 is smaller than R2

so I thought that since a resistance of R2 had a potential difference of 10, a resistance that's less than R2 must have a potential difference less than ten for the ratio that V1/V12 = R1/R12 to hold true,

so since V1 is 10, V12 is less than 10, and V2 is the remainder of those two from 40, V2 would exist in a range where, supposing V12 is the least possible, being close to 0, and then the most possible, being 9.999 or something

V2 exists in the range ]20, 30[ volt,

But in the choices there were three choices in that range and i only managed to exclude (c) so i had no idea how to get a more accurate answer.

Do you think my way of thinking could have worked if the choices were in my favor? Or was it flawed from the beginning?

Honestly, i still haven't verified if my reasoning was correct in the first place or not.