1) A parallel-plate capacitor (of length l and width w) has a dielectric that can slide along its length as shown in the figure below. Calculate the force F acting on the dielectric when it is partially inside the capacitor. The stray fields outside the capacitor can be neglected for this problem. V d F+
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- 5. Find the capacitance of a capacitor made up of two concentric cylinders of radii a < b and length L. In which the interior is hollow. Neglect edge effects; that is, suppose the field is the same as it would be if L - 0. From the capacitance calculate the energy stored in the capacitor.6. The parallel plates of a 10 μF vacuum filled capacitor are separated by 0.142 mm. A potential difference of 35 V is placed across the capacitor with a battery. a. What is the energy stored in the capacitor? b. If Teflon with a dielectric constant of 2.1 is inserted between the plates, while it is still connected to the battery, what is the new energy stored in the capacitor?A 5.00 pF, parallel plate, air filled capacitor with circular plates is to be used in a circuit in which it will be subjected to potentials of up to 1.00x102V. The electric field between the plates is to be no greater than 1.00x104 N/C. What must the separation between the plates in the capacitor be? What must the radius of each plate in the designed capacitor be? What is the maximum charge these plates can hold?
- 2) A. A small spherical object is released from rest in the center (black dot) of the below capacitor. For a positive, negative, and neutral object, explain the direction of any motion of the particle after it's released and whether the motion will be at a constant speed or will accelerate. Ignore gravity. B. Ignoring gravity, say a positively charged spherical object enters the bottom of the same capacitor as in (a) with a velocity pointed directly upwards. Draw a picture that shows the trajectory of the object inside the capacitor using solid lines. Draw a second trajectory with dashed lines to show the object's trajectory if its initial velocity was slower. Repeat these steps for a negatively charged object using a different colored pen/marker. C. An electron is launched from the bottom of the positive plate at a 45° angle to the plate. It does not have sufficient speed to make it to the negative plate. Draw a potential trajectory for the electron. Ignore gravity. +++++ +++++++A parallel-plate vacuum capacitor with capacitance C has plates with area A that are separated by distance d. What would be the capacitance if the area of one of the plates were increased to 2A while the other plate's area is reduced to A/2 (while keeping the separation between the plates the same)? O 20 O 3C/2 O C/2A parallel plate capacitor has half the space between its plates, filled with a dielectric material of dielectric constant 17 and the other half filled with air as shown in the figure. Assume that the plates are square with sides of length L = 230 cm and that the spacing between them is s = 9.6 mm. Determine the capacitance of the array.
- you find a point in space where you measure the eletric potential to be equal to 0. the elctric field at that point must be: positive, negative, uniform or impossible to determinis linearly proportional to A capacitor with plates separated by distance d is charged to a potential difference AVc. All wires and batteries are disconnected, then the two plates are pulled apart (with insulated handles) to a new separation of distance 2d. is inversely proportional to does not depend on increases by a factor of 2. decreases by a factor of 2. does not change. The electric field strength E of a parallel plate capacitor the separation of its plates. That is, E