How did the initial charge on the capacitor compare with the total charge that flowed?
Added by Chad C.
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The question is asking about the relationship between the initial charge on a capacitor and the total charge that flowed through it. This typically involves understanding the behavior of a capacitor in an electrical circuit. Show more…
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A 1.2 μF capacitor is charged to 30 V. After charging, the capacitor is disconnected from the voltage source and is connected across the terminals of a second capacitor that had previously been discharged. The final voltage across the 1.2 μF capacitor is 10 V. a) What is the total charge before the two capacitors are connected together? b) Are the capacitors connected in series or parallel? Hint: think about the initially uncharged capacitor, which plates are positive and which are negative after it is connected? c) Compared to the result in question a), the total charge of the capacitor combination after they are connected together should A) increase. B) decrease. C) stay the same. d) What is the capacitance of the second capacitor? Hint, your answer to part b) really matters here! e) How much energy was dissipated when the connection was made?
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A capacitor, C1, with a capacitance of 8.0 μF is charged by applying a potential difference of 240 V. After it has been fully charged, it was disconnected from the source of potential difference. What is the charge of the capacitor, C1, when it has been fully charged? What is the energy stored in capacitor, C1, when it has been fully charged? After the situation described above, an uncharged capacitor, C2, with a capacitance of 4.0 μF is connected in parallel to the fully charged capacitor, C1. What will now be the potential difference in capacitor, C1? What will be the potential difference in capacitor, C2? What will now be the charge in capacitor, C1? What will be the charge in capacitor, C2? What will now be the amount of energy in capacitor, C1? What will be the amount of energy in capacitor, C2? What will now be the total energy of the system/circuit? Did the total energy of the system/circuit increase as a result of the addition of capacitor, C2?
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A 20.5 nF air-filled parallel plate capacitor is connected in series with a 2.35 kΩ resistor and a battery of emf 36.0 V. (a) Determine the final charge on the capacitor. (b) Once the capacitor is fully charged and there is no current in the circuit, a sheet of plastic with a dielectric constant of 2.10 is introduced in the gap between the plates of the capacitor, completely filling the gap. If the area of each plate is 0.275 m^2 what is the electric field inside the plastic immediately after it is inserted (before there is any change in the charge on the plates of the capacitor)? (c) Take a moment to think about why current starts to flow after the plastic is inserted and apply the loop rule to find a round trip potential difference equation for the circuit just after the plastic is inserted. Determine the initial current through the resistor immediately after the plastic is inserted. (d) Determine the final charge on the positive plate of the capacitor with the dielectric. How is the capacitance related to the area of the plates and the plate separation? Note that you will have to take into account the presence of the dielectric.
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