Dry air is a pretty decent insulator; it has a very high resistivity of 3 × 101³ 2 · m . Consider a capacitor that has square plates 15 cm on a side, separated by 0.8 mm of dry air. The capacitor is charged such that it has a potential of 320 V between the plates.
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


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- A parallel-plate capacitor is made of two square plates 40 cm on a side and 1 mm apart. The capacitor is connected to a 40-V battery. What is the energy stored in the capacitor? μJ. With the battery still connected, the plates are pulled apart to a separation of 2 mm. What is the energy stored in the capacitor now? μJ. This time, starting from situation in (a), with the batteries disconnected (but capacitors still charged), the plates are pulled apart to a separation of 2 mm. What is the energy stored in the capacitor now? μJ.(a )A researcher connects a 3.00 V battery to the plates of a capacitor. After waiting a while, the capacitor reaches a maximum amount of 16.0 µC of stored charge. What is the value of the capacitance (in µF)? µF (b) The capacitor is disconnected from the battery, discharged, and then connected to a 10.0 V battery. Again, a long enough time is waited for the capacitor to fully charge. How much charge (in µC) is stored now? (Assume the capacitor can handle this new voltage without failing.) µCAn air-filled parallel-plate capacitor has a capacitance of 20.2μFμF. How much charge, in microcoulombs, must leak off its plates before the voltage across them is reduced by 125 V?
- In the figure a potential difference of V = 91.2 V is applied across a capacitor arrangement with capacitances C₁ = 11.0 µF, C₂ = 5.62 µF, and C3 = 4.58 µF. If capacitor 3 undergoes electrical breakdown so that it becomes equivalent to conducting wire, what is the increase in (a) the charge on capacitor 1 and (b) the potential difference across capacitor 1? (a) Number i (b) Number i ! ! Units Units C₂ с V C₂Two capacitors C1 = 6.20 μF and C2 = 14.4 μF are connected in series across a 15.0-Volt battery. They are carefully disconnected so that they are not discharged and are reconnected to each other (but not the battery) in parallel with positive plate to positive plate and negative plate to negative plate. Find the charge on C1 after the capacitors are reconnected. (I keep getting 9.3*10-5, 3.09*10-4, and 6.501*10-5 but none of them are correct) Find the final energy stored in C1.Two capacitors C1 = 2 nF, and C2 = 4 nF are connected in series to a 10V battery. The two capacitors are fully charged. What is the energy (expressed in "nJ") stored in capacitor C1?
- Four uncharged capacitors with equal capacitances are combined in parallel. The combination is connected to a 7.23 V battery, which charges the capacitors. The charging process involves 0.000475 C of charge moving through the battery. Find the capacitance C of each capacitor.A capacitor of capacitance 400 µF is charged so that the potential difference between its plates is 5 V. How much charge (in mC) is transferred?Two parallel plate capacitors, C₁ and C₂, are connected in series with a 65.0-V battery and a 290-k resistor, as shown in the figure. Both capacitors have plates with an area of 2.31 cm² and a separation of 0.170 mm. Capacitor C₁ has air between its plates, and capacitor C₂ has the gap filled with porcelain (dielectric constant of 7 and dielectric strength of 5.70 kV/mm). The switch is closed, and a long time passes. a) What is the charge on capacitor C₁? Submit Answer Tries 0/100 b) What is the charge on capacitor C₂? Submit Answer Tries 0/100 c) What is the total energy stored in the two capacitors? Submit Answer Tries 0/100 d) What is the electric field inside capacitor C₂? Submit Answer Tries 0/100 R + Vemf C₁ I C₂
- To provide the pulse of energy needed for an intense bass, some car stereo systems add capacitors. One system uses a 2.0 F capacitor charged to 24 V, double the normal 12 V provided by the car’s battery. How much energy does the capacitor store at 12 V? At 24 V?A potential difference of 151 V is applied to a series connection of two capacitors of capacitances C = 3.13 µF and C2= 8.00 µF. What are (a) chargeq, and (b) potential difference V, on capacitor 1 and (c) q2 and (d) V, on capacitor 2? The charged capacitors are then disconnected from each other and from the battery. Then the capacitors are reconnected with plates of the same signs wired together (the battery is not used). What now are (e) q1, (f) V1, (g) 92, and (h) V,? Suppose, instead, the capacitors charged in part (a) are reconnected with plates of opposite signs wired together. What now are (i) q1. G) V1, (k) q2, and (I) V2? (a) Number Units (b) Number i Units (c) Number i Units (d) Number i Units Units (e) Number i Units (f) NumberA capacitor C1=3μFC1=3μF is connected across a 20V battery. The battery is removed and the capacitor is reconnected to another capacitor C2=8μFC2=8μF. What are the final charges and potential differences for the capacitors?