Surface charge, electric fields, and capacitance

AI Thread Summary
The discussion revolves around a homework problem involving electric fields and capacitance between charged conducting sheets. The first question asks for the electric field at a point between two plates when one plate is shrunk to a square. The second question explores the relationship between electric fields in a series configuration with oppositely charged sheets and dielectrics. The third question examines the electric field relationship in a parallel configuration with equal contact area. The final part seeks to determine the equivalent capacitance for both configurations. Participants express uncertainty about how to approach the problem, particularly regarding the impact of changing dimensions on the electric field.
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Homework Statement


Two large conducting sheets are charged with a positive surface charge density. They stand vertically facing each other a distance d apart.

a.) suddenly, we shrink the left sheet to a square with sides equal to d, what is the field at the point along the central axis of the smaller sheet a point directly between the two plates?

b.) By shrinking both sheets to a square with sides equal to d, let each sheet have oppositely charged sufaces with two dielectrics (K1, K2). what is the relationship between E1 and E2 for a series configuration?

c.) Alternatively for b) what is the E-Field relationship for a parallel configuration when the sheet's contact area is shared equally?

d.) what is the equivalent capacitance in each case b) c)?



Homework Equations



C = (K*Epsilon*Area)/d

Efield at a point from a surface charge is = integral of kq/r^2 dq

dq = sigma dA

The Attempt at a Solution



I don't really know where to begin with this...I know in between two parallel plate capacitors the field is uniform and it will change with the change in one plate but the question does not explain what the original dimensions are...and when one shrinks that means the field won't be uniform...

But how do I figure out exactly what that is?
 
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I want to take this one step at a time so I want to address A.) first
 
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