Astudent is experimenting with a battery, three identical light bulbs, and some wire. first, she creates a circuit with the light bulbs in series, and next, in parallel, and observes the brightnesses of the bulbs for each circuit. she decides to analyze the total power from the battery for both circuits, assuming that the battery emf is e m f and the three bulbs each have constant resistance r. (for all symbolic answers, use the following as necessary: r and ℰ for e m f.)