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## Homework Statement

1) double the potential difference, ΔV

2) double the current, I

3) reduce the resistance, R, by 1/2

## Homework Equations

## 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...