When you insert a piece of paper κ = 3.7) into the air between the plates of a capacitor, the capacitance

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Inserting a dielectric material with a dielectric constant greater than 1 (in this case, paper with κ = 3.7) increases the capacitance of a capacitor. This is because the electric field is reduced in the dielectric material, which allows for more charge to be stored on the plates of the capacitor, resulting in an increase in capacitance.

When You Insert a Piece of Paper κ = 3