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## Homework Statement

we put a dielectric hemishphere with radius (a) and dielectric coeeficient(k) on an infinite conducting plane.the system(hemsiphere and the plane) are in a constant electric field E0.

find the surface charge distrubution on the plane as a function of (r).

and explain what happens?

## Homework Equations

E in =1/k E (in a dielectric E weakens)

maxwell equations

e0E=surface charge(charge per area)

## The Attempt at a Solution

for the case k=1 there wont be any charge on the plane(I think)

also I tried to think what actually happens?will there be any charge inside the hemisphere?

and these are (I think) the solutions:

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