A parallel plate capacitor has vacuum between its plates. The plates are connected to a battery which supplies a potential difference V between its plates. The battery is kept connected all the time. The space between the plates is now completely filled with a dielectric material with dielectric constant K = 5. In the following questions, you are asked to write down the ratio between various physical quantities (We will use subscripts "before" and "after" to represent quantities before and after the separation). The quantities are E = the electric field between the plates, V = the potential difference between the plates, U = the total potential energy, of the capacitor, u = the energy_density, between the plates, o = the surface charge density on one of the plates (say, the positive plate), C = the capacitance of the capacitor.

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V
V
A parallel plate capacitor has vacuum between its plates. The plates are connected to a battery which supplies a potential difference V between its plates. The battery is
kept connected all the time. The space between the plates is now completely filled with a dielectric material with dielectric constant K = 5.
In the following questions, you are asked to write down the ratio between various physical quantities (We will use subscripts "before" and "after" to represent quantities
before and after the separation). The quantities are
E = the electric field between the plates,
the potential difference between the plates,
= the total potential energy, of the capacitor,
the energy density, between the plates,
o = the surface charge density on one of the plates (say, the positive plate),
' = the capacitance of the capacitor.
V
U
u =
C
Eafter/Ebe fore
Vafter/Vie fore
Uafter/Ube fore
Uafter / Ube fore
Tafter /Obe fore
Cafter /Cre fore
||
Transcribed Image Text:K V V A parallel plate capacitor has vacuum between its plates. The plates are connected to a battery which supplies a potential difference V between its plates. The battery is kept connected all the time. The space between the plates is now completely filled with a dielectric material with dielectric constant K = 5. In the following questions, you are asked to write down the ratio between various physical quantities (We will use subscripts "before" and "after" to represent quantities before and after the separation). The quantities are E = the electric field between the plates, the potential difference between the plates, = the total potential energy, of the capacitor, the energy density, between the plates, o = the surface charge density on one of the plates (say, the positive plate), ' = the capacitance of the capacitor. V U u = C Eafter/Ebe fore Vafter/Vie fore Uafter/Ube fore Uafter / Ube fore Tafter /Obe fore Cafter /Cre fore ||
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