Four parallel-plate capacitors all carry the same amount of charge on their plate. As can be seen in the figure, capacitors A and C have their plates separated by distance d, while B and D have twice the separation (2d). Capacitors C and D contain dielectrics with a dielectric constant of 5. Which option ranks the capacitors of increasing capacitance? vacuum B HE A, C, B, D A, B, C, D B, A, D, C D, C, B, A D, B, C, A dielectric (K = 5) D

A parallel-plate capacitor of capacitance C0 = ε0A0/d0 , is connected to a battery. When the capacitor is fully charged, it is disconnected from the battery (initial state). We push the plates closer together, until d = d0/2 (final state).  a) How does the energy stored in the capacitor change (increase or decrease)? Justify your answer.  b) Calculate Ufinal / Uinitial , in terms of the parameters defined in the problem.

Two thin plates (0.50 m x 0.50 m x 'very thin') of a parallel capacitor are located parallel to the xzplane. One of the large plates crosses the y-axis at y = 0 cm, and the other crosses at y = -1 cm. The charge on the positive plate is +30 nC, and on the negative plate, -30 nC. a) What is the voltage from the positive plate to the negative plate? b) What is the electric potential difference from the negative plate to a point in the middle of the space between the plates? c) If the electric potential at the negative plate is 100 V, what is the electric potential at the positive plate? ( d-f) The negative plate is now shifted 0.5 cm away from the positive plate. d) What is the voltage from the positive to the negative plate? ( e-f) If an electron is released from rest from very close to the negative plate, and it flies to the positive plate, e) what is the electron's change in potential energy? f) what is the electron's speed when it hits the positive plate?

A capacitor is constructed out of two foil wrappers that have a length of 8.7 cm and width of 2.1 cm, and the plates (wrappers) are spaced 7 μm apart. If the capacitor is filled with a dielectric that has a constant of 120, what is the capacitance? (in F) a. 6.69×10-8 F  b. 3.61×10-6 F c.  2.31×10-9 F  d. 1.92×10-11 F e.  2.77×10-7 F

b. Capacitor A and Capacitor B are two parallel plate capacitors. Capacitor B has twice the area and four times distance between plates of Capacitor A. (i) What is the ratio CB: CA, and (ii) What is the ratio of Energy stored UB:UA when the capacitors store the same charge on its plates?

Area = A dielectric capacitor plates A parallel plate capacitor has each plate area as 3 cm x 4 cm, separated by a 1.0 mm thick cardboard represented by the purple layer in the figure (dielectric constant € = 3.8), is fully charged. Find the capacitance (C) and the maximum charge (Qmax) on the capacitor if it's charged with an electric field E = 16 x 106 V/m.,

You connect three capacitors as shown in the diagram. C1 = C3 = 2.5 μF, and C2 = 5.0 μF. A potential difference of 9.0 V is maintained between the terminals A and B. The magnitude of the charge on capacitor C3 is approximately Choose the correct answer