Chapter 17. Capacitance of a parallel-plate capacitor (17-13)

Question

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{"title":"Capacitance of a parallel-plate capacitor","description":"Correct!","type":"correct","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"5,52,46,96\"}]"} {"title":"Permittivity of free space = 1/(4pk)","description":"Wrong","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"113,16,144,55\"}]"} {"title":"Area of each capacitor plate","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"227,24,228,24\"},{\"shape\":\"rect\",\"coords\":\"165,6,210,55\"}]"} {"title":"Distance between the capacitor plates","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"134,91,179,141\"}]"}

Question

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{"title":"Capacitance of a parallel-plate capacitor","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"5,52,46,96\"}]"} {"title":"Permittivity of free space = 1/(4pk)","description":"Correct!","type":"correct","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"113,16,144,55\"}]"} {"title":"Area of each capacitor plate","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"227,24,228,24\"},{\"shape\":\"rect\",\"coords\":\"165,6,210,55\"}]"} {"title":"Distance between the capacitor plates","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"134,91,179,141\"}]"}

Question

M+/DucP8MxudLxxJNHWZ6y8JWAH4fuKNS6Zv6bbYWsk=
{"title":"Capacitance of a parallel-plate capacitor","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"5,52,46,96\"}]"} {"title":"Permittivity of free space = 1/(4pk)","description":"Incorrect","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"113,16,144,55\"}]"} {"title":"Area of each capacitor plate","description":"Correct!","type":"correct","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"227,24,228,24\"},{\"shape\":\"rect\",\"coords\":\"165,6,210,55\"}]"} {"title":"Distance between the capacitor plates","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"134,91,179,141\"}]"}

Question

Z5/w+gF56o64r9hT6Qz0nVu6MTEihn4Li0tkG/iCLmG49Ns4qHZ5BJ/OqSw=
{"title":"Capacitance of a parallel-plate capacitor","description":"Wrong","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"5,52,46,96\"}]"} {"title":"Permittivity of free space = 1/(4pk)","description":"Incorrect","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"113,16,144,55\"}]"} {"title":"Area of each capacitor plate","description":"Wrong","type":"incorrect","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"227,24,228,24\"},{\"shape\":\"rect\",\"coords\":\"165,6,210,55\"}]"} {"title":"Distance between the capacitor plates","description":"Correct!","type":"correct","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"134,91,179,141\"}]"}

Review

For a parallel-plate capacitor, \(C\) depends only on the area \(A\) of the plates, the distance \(d\) between them, and the material between them. We’ve assumed that the plates are separated by vacuum; in Section 17-8 we’ll explore what happens if the space between the capacitor plates is filled with a different material. Capacitance is therefore a compact way to summarize the electrical properties of a capacitor. In particular, capacitance tells us the amount of charge that can be stored on a capacitor held at a given voltage.