Dry air is a pretty decent insulator; it has a very high resistivity of 3 × 10º 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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Dry air is a pretty decent insulator; it has a very high resistivity of 3 × 10³ 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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- Two parallel plate capacitors, C1and C2, are initially arranged such that only C1has an initial charge, Qi1. C2is initially uncharged. They are then connected in parallel. Find the ratio of the initial energy to the final energy (after they have been connected).A capacitor is formed by two conductive plates separated by air. They each acquire density of 3.60x 10-6 C*m2 when a potential difference of 1.10x102 volts applied to them. Whats the gap in mm.(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.) µC
- An 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?A spherical capacitor consists of an inner sphere radius 0.010 m surrounded by a spherical shell of radius 0.015 m. This capacitor is connected to a 10 V battery. (a) What is the capacitance of this capacitor? (b) How much charge will accumulate on the ”plates” of this spherical capacitor? (c) How much energy will this capacitor store?Two identical capacitors Ca and Cb each of capacitance 2.70 μF are connected in parallel across a CONSTANT total electric potential difference of 510 V. A dielectric slab of dielectric constant 6.90 can fill Ca and is slowly inserted into that capacitor.What is the change in charge, ΔQa, on Ca when the dielectric is added to Ca?
- Two 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.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?A parallel plate capacitor has a plate area of 50cm^2 and a plate separation of 1.0cm. A potential difference of V0=200V is applied across the plates with no dielectric present. The battery is then disconnected, and a piece of Bakelite (K=4.8) is inserted which fills the region between the plates. What is the capacitance, the charge on the plates, and the potential difference between the plates, before and after the dielectric is inserted?
- Two parallel-plate capacitors, 5.2 uF each, are connected in series to a 11 V battery. One of the capacitors is then squeezed so that its plate separation is halved. Because of the squeezing, (a) how much additional charge is transferred to the capacitors by the battery and (b) what is the increase in the sum of the charges: the charge on the positive plate of one capacitor plus the charge on the positive plate of the other capacitor? Give your answers in Coulombs.An initially uncharged air-filled capacitor is connected to a 3.29 V charging source. As a result, the capacitor acquires 9.89 x 10- C of charge. Then, while the capacitor remains connected to the charging source, a sheet of dielectric material is inserted between its plates, completely filling the space. The dielectric constant k of this substance is 7.61. Find the voltage V across the capacitor and the charge Qf stored by it after the dielectric is inserted and the circuit has returned to a steady state. V = V Qt = CA 45.0-m length of coaxial cable has an inner conductor that has a diameter of 2.58 mm and carries a charge of 8.10 μC. The surrounding conductor has an inner diameter of 7.27 mm and a charge of -8.10 μC. Assume the region between the conductors is air. (a) What is the capacitance of this cable? C= nF (b) What is the potential difference between the two conductors? AV= KV