Electric Power Practice Test

A single resistor $$R_1$$ is connected to an ideal battery, dissipating a total power $$P$$. A second resistor $$R_2$$ is then connected in series with $$R_1$$. How does the new total power dissipated by the circuit compare to $$P$$?

A cylindrical wire has length $$L$$, radius $$r$$, and is made of a material with resistivity $$\rho$$. If a potential difference $$V$$ is applied between the ends of the wire, what is the power dissipated in the wire?