Capacitance increases when distance between plates decreases.

Capacitance increases when distance between plates decreases.

• A. True
• B. False
• C. It depends on plate area only
• D. It depends on dielectric constant only

Answer: (A)

Capacitance is determined by how much charge the capacitor can store per volt, and for a parallel-plate capacitor it follows C = ε A / d, where ε is the permittivity of the dielectric between the plates, A is the plate area, and d is the separation. This equation shows an inverse relationship with distance: as d decreases, C increases (assuming A and ε stay fixed). So the statement is true because bringing the plates closer makes it easier to store charge at the same voltage. The other factors—plate area and dielectric constant—increase capacitance as well, but they don’t negate the fact that reducing the gap increases C; relying on only area or only dielectric constant would miss this inverse dependence on distance.

Capacitance is determined by how much charge the capacitor can store per volt, and for a parallel-plate capacitor it follows C = ε A / d, where ε is the permittivity of the dielectric between the plates, A is the plate area, and d is the separation. This equation shows an inverse relationship with distance: as d decreases, C increases (assuming A and ε stay fixed). So the statement is true because bringing the plates closer makes it easier to store charge at the same voltage. The other factors—plate area and dielectric constant—increase capacitance as well, but they don’t negate the fact that reducing the gap increases C; relying on only area or only dielectric constant would miss this inverse dependence on distance.