How will the electric capacity of a flat capacitor change if the area of the plates is increased by 3 times?

Electric capacity of a given flat capacitor:

С = ε * ε0 * S / D; ε is the relative permittivity of the dielectric (air), ε0 is the electrical constant, S is the area of the plates of a flat capacitor, D is the thickness of the dielectric (constant for this problem).

The area of the plates of the flat capacitor was increased by 3 times (S1 = 3S):

C1 = ε * ε0 * S1 / D = ε * ε0 * 3S / D = 3 * (ε * ε0 * S / D) = 3С.

Answer: The electric capacity of a given flat capacitor will increase by 3 times.



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