Three times decrease in the distance between the plates of a parallel plate, capacitor will _.
Correct answer: C. Increase the capacitance three times
- A. Decrease the capacitance three times
- B. Decrease the capacitance nine times
- C. Increase the capacitance three times
- D. Increase the capacitance six times
Explanation
Capacitance of a parallel plate capacitor is given by the formula C = ε₀(A/d), where C is the capacitance, ε₀ is the permittivity of free space, A is the area of the plates, and d is the distance between the plates. When the distance d is decreased to one-third, the capacitance C increases by a factor of three. Therefore, a three times decrease in the distance results in a threefold increase in capacitance. Other options are incorrect as they either misinterpret or miscalculate the relationship between capacitance and distance.
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Electrostatics describes forces between charges through Coulomb's law, electric fields and field intensity, then uses electric potential to measure energy per unit charge. Capacitors store charge and electrical energy, with capacitance depending on geometry and dielectric material, not simply on the amount of charge present.
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