- #1
mnb96
- 715
- 5
Hello,
Let's consider a capacitor simply made of two conductors with arbitrary shape in the vacuum (http://www.kshitij-iitjee.com/Study/Physics/Part4/Chapter26/3.jpg).
Now, if I place a small piece of dielectric material (for example a tiny sphere of glass) between the two conductors, the capacitance changes.
However, it seems to me that the observed change in capacitance depends on the position of the piece of glass. If I hypothetically place the piece of glass very far away from both conductors, the change in capacitance will be basically negligible.
Is it so that the change in capacitance is somewhat proportional to the magnitude of the electric field? If so, how can I prove it mathematically?
Let's consider a capacitor simply made of two conductors with arbitrary shape in the vacuum (http://www.kshitij-iitjee.com/Study/Physics/Part4/Chapter26/3.jpg).
Now, if I place a small piece of dielectric material (for example a tiny sphere of glass) between the two conductors, the capacitance changes.
However, it seems to me that the observed change in capacitance depends on the position of the piece of glass. If I hypothetically place the piece of glass very far away from both conductors, the change in capacitance will be basically negligible.
Is it so that the change in capacitance is somewhat proportional to the magnitude of the electric field? If so, how can I prove it mathematically?