A teaching assistant builds a parallel-plate capacitor with adjustable spacing between the plates. When the plates are at their initial separation, the capacitance is 9.00 F. (a) At this capacitance, the capacitor is connected to a 23.00 V battery. After fully charging, how much energy (in J) is stored in the capacitor? (b) The battery is then disconnected. Without discharging the capacitor, the teaching assistant then doubles the separation between the plates. At this point, how much energy (in J) is stored in the capacitor? J (c) Without changing this new separation between the plates, the capacitor is discharged, and then reconnected to the 23.00 V battery. Now, after fully charging, how much energy (in J) is stored in the capacitor? J The circuit in the figure below contains a 9.00 V battery and four capacitors. The two capacitors on the left and right both have same capacitance of C = 24.20 F. The capacitors in the top two branches have capacitances of 6.00 F and C 18.20 F. = 6.00 F C C + 9.00 V (a) What is the equivalent capacitance (in F) of all the capacitors in the entire circuit? F (b) What is the charge (in C) stored by each capacitor? right 24.20 uF capacitor left 24.20 uF capacitor 18.20 uF capacitor 6.00 uF capacitor (c) What is the potential difference (in V) across each capacitor? (Enter the magnitudes.) right 24.20 uF capacitor left 24.20 uF capacitor 18.20 uF capacitor 6.00 uF capacitor V A small object with a mass of 300 g carries a charge of 25.0 nC and is suspended by a thread between the vertical plates of a parallel-plate capacitor. The plates are separated by 2.00 cm. If the thread makes an angle of 16.0 with the vertical, what is the potential difference between the plates? V Two capacitors, C = 4.43 F and C = 13.9 F, are connected in parallel, and the resulting combination is connected to a 9.00-V battery. (a) Find the equivalent capacitance of the combination. MF (b) Find the potential difference across each capacitor. V1 = = V V (c) Find the charge stored on each capacitor. Q1 = A uniform electric field of magnitude 4.20 N/C is directed along the +x-axis. If a 2.15 C charge moves from (1.00, 0) m to (2.25, 0) m in this field, determine the following. (Include the sign of the value in your answer.) (a) the work done by the electric force J (b) the change in the electric potential energy of the particle J (c) the electric potential difference between the particle's initial and final points V