Pardon me if this is too basic knowledge. It's been a while since my last Physics class in high school so a lot of the knowledge is no longer active in my mind. Here's the question.
Say I have a battery of 2V and use a short wire made of superconducting material (R->0) to connect the two terminals. If P=V^2/R, does that mean I just create superpower?
In another scenario, I have a wire loop connecting to a resistor (R) made of superconducting material. Let's say I use my power (P_input) to generate a consistent change in the magnetic field across the loop, which in turn creates an electromotive force of 2V inside the loop. Neglecting the resistance of the wire, if P_output=V^2/R and R -> 0, then P_output must be extremely high, while P_input stays the same, which doesn't really make sense. Where is the mistake in this reasoning?