The discussion revolves around a parallel plate capacitor that includes a dielectric material and is connected to a battery. Participants are exploring how to analyze the system, particularly in terms of electric fields and displacement vectors.
The discussion is ongoing, with some participants suggesting modeling the capacitor as two capacitors in series. There is an acknowledgment of the need for a clearer problem statement and possibly a diagram to aid understanding. Guidance has been offered to explore traditional equations related to capacitors.
Participants note that the problem statement may be incomplete and that additional information, such as a diagram, could enhance clarity. There is also a mention of the commonality of this type of question in introductory physics contexts.
That's not really the full problem statement, and a diagram would help, but it sounds like you have a parallel plate capacitor with a dielectric slab filling some fraction of the separation distance?physconomic said:Homework Statement:: Represent the system as the superposition of a polarized dielectric slab and a vacuum capacitor to find the total electric field in the capacitor in terms of Q and the polarisation P. Then find the relationship between the displacement vectorD and Q.
Relevant Equations:: Lorentz field? E=q/(A*sigma0)
Not sure how to set this question up or how to get to the second half
Hi sorry yes it's just a standard parallel plate capacitor with a linear dielectric material filling the whole gap. Thank you though.berkeman said:That's not really the full problem statement, and a diagram would help, but it sounds like you have a parallel plate capacitor with a dielectric slab filling some fraction of the separation distance?
If so, just model it as two capacitors in series -- one with the dielectric in it, and one with vacuum. Once you do that, just use the traditional equations for the charge on a capacitor versus voltage and capacitance, and the equation for the series combination of capacitors...