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Practice question

Question

When a dielectric slab fills only half the space between the plates of a parallel plate capacitor (connected to a battery), why does the electric field differ in the dielectric and air regions?

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Explanation

With a constant voltage V across the plates, the electric field E varies between regions. In the air region, E_{air = V/d, where d is the plate separation. In the dielectric region ( K > 1 ), polarization reduces the field: E_{dielectric = fracE_{airK = V/K d . Since K > 1, E_{dielectric < E_{air . The field differs because the dielectric polarizes, creating an opposing field that reduces the net field within it, while the air region experiences the full field.

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