Consider the charged capacitor below, that is not connected to anything. The capacitor has vacuum between its plates. The capacitor plates are slowly pulled apart. As that happens, how will the energy stored in the capacitor change?
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- The voltage across an air-filled parallel-plate capacitor is measured to be 189.0 V. When a dielectric is inserted and completely fills the space between the plates as in the figure below, the voltage drops to 90.0 V. a Co AV AV (a) What is the dielectric constant of the inserted material? (b) Can you identify the dielectric? O O O O nylon paper bakelite neoprene rubber teflon DielectricHere is how I did the problem and don't understand what I'm doing wrong: 8.854X10^-12 * 8.98X10^-4 * 194= 1.54247305X10^-12 1.54247305X10^-12 *35.6 * 3.38= 1.85602697X10^-10A parallel-plate capacitor is made of two square plates 25 cm on a side and 1.5 mm apart. The capacitor is connected to a 70-V battery. Hint a. What is the energy stored in the capacitor? Energy stored in the capacitor is b. With the battery still connected, the plates are pulled apart to a separation of 3 mm. What is the energy stored in the capacitor now? Energy now stored in the capacitor is HJ. µJ. c. This time, starting from situation in (a), with the batteries disconnected (but capacitors still charged), the plates are pulled apart to a separation of 3 mm. What is the energy stored in the capacitor now? Energy now stored in the capacitor is d. Comparing your results in (b) and (c) above, it makes sense that the energy stored in the capacitor increases in (c), because the work done in separating the plates is stored as the electrostatic potential energy. In (b), why does the energy decrease even though work is done in separating the plates? HJ. O A negative work is done in…
- 11. A rectangular parallel plate capacitor (length = L and width= 2L) contains a dielectric with a constant k₁. A square parallel plate capacitor (whose length and width are both L and is filled with a material whose dielectric constant is 4k₁) has the same capacitance as the rectangular one just described. How thick (d) is the square capacitor (ds) compared to the rectangular capacitor (d,)? A. ds = 2d, B. d₂ = d, C. d = 4d, D. ds = 8drA parallel-plate capacitor is fully charged by a battery. While still connected to the battery, the distance between the plates increases. What happens to the charge on the capacitor? Answers: decreases increases stays the same#16 Does the charge that flows into the capacitor during the charging go all the way through the capacitor and back to the battery, or does it get stored somewhere in the capacitor? a It goes all the way through the capacitor and back to the battery. b It gets stored somewhere in the capacitor.
- Lightning As a crude model for lightning, consider the ground to be one plate of a parallel-plate capacitor and a cloud at an altitude of 590 m to be the other plate. Assume the surface area of the cloud to be the same as the area of a square that is 0.80 km on a side. (Dielectric strength of air is 3.0×106V/m) What is the capacitance of this capacitor? How much charge can the cloud hold before the dielectric strength of the air is exceeded and a spark (lightning) results?A parallel-plate capacitor is connected to a battery and becomes fully charged. The capacitor is then disconnected, and the separation between the plates is increased in such a way that no charge leaks off. The energy stored in this capacitor has" increased. decreased. not changed. become zero.A simple adjustable parallel-plates capacitor is shown below. The plates have a radius of 8.0 cm and they are separated by a gap of 0.50 cm with nothing in between them. (a) Calculate the capacitance of this capacitor. (b) Calculate the charge stored when a battery of 9 V is connected to the capacitor. (c) Calculate the energy stored in the capacitor. (d) While the battery is still connected to the capacitor, a 0.50 cm-thick piece of wood (dielectric constant ? = 4.0) is inserted into the gap between the plates. Describe and explain what would happen to the capacitor’s voltage, to the capacitance, and to the stored charge.