Two capacitors, C1 _ 18.0 mF and C2 _ 36.0 mF, are connected in series, and a 12.0-V battery is connected across them. (a) Find the equivalent capacitance, and the energy contained in this equivalent capacitor. (b) Find the energy stored in each individual capacitor. Show that the sum of these two energies is the same as the energy found in part (a). Will this equality always be true, or does it depend on the number of capacitors and their capacitances? (c) If the same capacitors were connected in parallel, what potential difference would be required across them so that the combination stores the same energy as in part (a)? Which capacitor stores more energy in this situation, C1 or C2?

PHYSICS2110NOTES Week three 4-1PositionandDisplacement When considering motion in 2-D and 3-D, you must find the particle’s position and displacement. Position of a particle can be found using a position vector ⃗, which extends from a reference point (like the origin of a coordinate plane) to the particle In unit vector notation ⃗ = x̂ + ŷ + z o Keep in mind that x̂, ŷ, and z are vector components because they indicate magnitude and direction and x, y, and z are scalar components because they only indicate magnitude As a particle moves, the position vector changes as to always extend to the particle from the reference point. As this position changes, the particle’s displacement is described as Δ ⃗ = ⃗2− 1 o Whe