6
QuizMultiple Choice

Electric Energy Storage

Question 6 • 350CR Integrated Science

How is capacitance related to the distance between the plates of a capacitor?

Answer
A
It is directly proportional, so the capacitance increases as the distance increases.
B
It is inversely proportional, so the capacitance increases as the distance increases.
C
It is directly proportional, so the capacitance decreases as the distance increases.
D
It is inversely proportional, so the capacitance decreases as the distance increases.

Explanation

For a parallel-plate capacitor, capacitance is given by C = εA/d, where ε is the material’s permittivity, A is the plate area, and d is the distance between the plates. Because d is in the denominator, capacitance is inversely proportional to plate distance: increasing the distance decreases the capacitance. Therefore, choice D, “It is inversely proportional, so the capacitance decreases as the distance increases,” is correct.

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