That's more than ohms law because we have to convert 8 million electrons per second to a current.
One electron has a charge of 1.602 × 10⁻¹⁹ coulombs so 8 million = 8×10⁶ have a charge of
q = 8×10⁶ × 1.6 × 10⁻¹⁹ = 1.3×10⁻¹²
Since that goes by in one second, that's also the current in amps,
I = 1.3×10⁻¹² amps
That's a tiny current. If that flowed across 3000 Volts that implies a resistance of
R = V/I = 3000/1.3×10⁻¹² = 2.3 × 10¹⁵ ohms
That's a giant resistance.
These numbers don't seem all that realistic but I think it's right.
Answer:
about 2.34 PΩ
Explanation:
One electron is 1.602176634×10^−19 coulomb, so 8×10^6 electrons per second is ...
(8×10^6)(1.602176634×10^−19) amperes ≈ 1.28174×10^-12 amperes
Then the resistance is ...
R = V/I = 3000/(1.28174×10^-12) ≈ 2.34×10^15 . . . ohms
The SI prefix corresponding to 10^15 is "peta-", so this is ...
2.34 PΩ
