1) double the potential difference, ΔV
2) double the current, I
3) reduce the resistance, R, by 1/2
The Attempt at a Solution
These problems are usually straightforward but I'm a little confused this time because I keep seeing all of the choices work out.
I know P=IV, so if I double V or double I, then I will get twice the power.
I also know P=V^2/R so reducing R by 1/2 will also double the power.
However, if R is reduced by 1/2, in the equation P=I^2*R the power will be halved instead of doubled? And if I or V are doubled, then for P=V^2/R and P=I^2*R power will increase by 4?
It's late and I may very likely be overlooking something obvious, but I'm not sure what I'm missing here...