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6. A parallel plate capacitor consists of two 1 cm square metallic plates separated by a...

6. A parallel plate capacitor consists of two 1 cm square metallic plates separated by a distance of 1 mm, both perpendicular to the z direction.

The top conductor has Q = 1 μC charge and the bottom conductor -1μC. Find the electric flux density vector field between the plates. Ignore fringing fields at the edges of the conductors. Be sure to give both the direction and magnitude of the vector field.

Find the electric field intensity vector field between the plates.

Integrate the electric field intensity to find the voltage between the plates.

Find the capacitance of the structure.

What is the amount of stored energy in the capacitor in Joules?

The capacitor is filled with a block of polystyrene. What does the capacitance change to?

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