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此套题仅 p II含有简答题,
共计时45分钟,共3题
占总分50%
每道大题可能含有不同数量的小题
可以使用计算器
1)parallel-plate capacitor X, with plate area A and plate separation d, is filled with air and charged by connecting the capacitor through a switch to a power supply of emf e , as shown above.
Determine the magnitude of the charge 0 q on each plate of the capacitor, in terms of the given quantities and fundamental constants.
The switch is now flipped to the right, so that capacitor X is disconnected from the power supply and is instead connected to an uncharged parallel-plate capacitor Y. Capacitor Y has the same plate separation but twice the plate area and is filled with a material having dielectric constant 3.
Calculate the equilibrium charges qx and c on capacitors X and Y, expressing your answers in terms of the initial charge q0 .
Once the charges on the two capacitors have reached equilibrium, they are disconnected from one another. The dielectric is then removed from capacitor Y.
Indicate whether the energy stored in capacitor Y as the dielectric is removed increases, decreases or remains the same.
___ Increases ___ Decreases ___ Remains the same
Justify your answer.
Indicate whether your answer to (c) requires that the electric force on the dielectric as it is removed pulls the dielectric into the capacitor, pushes it out, or is zero.
___ Pulls it in ___ Pushes it out ___ Is zero
Justify your answer.
A resistor of resistance R is now connected to the two sides of capacitor Y. The capacitor is allowed to discharge through the resistor. Derive the equation describing the charge on capacitor Y as a function of time, expressed in terms of R, d, A, the initial charge qy on capacitor Y, and fundamental constants.
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