Question Detail
Question
In a parallel-plate capacitor, the distance d between the plates is 3cm, the area of each plate is 15cm2, and the voltage across them is 5V. Calculate the capacitance. Take permittivity of free space to be ε0 = 8.854 × 10-12C/Nm2.
Correct Answer
Option C is the correct answer.
Detailed Explanation
The capacitance of a parallel-plate capacitor is given by the formula C = ε0A/d, where C is capacitance, ε0 is the permittivity of free space, A is the area of one plate, and d is the distance between the plates. Given A = 15 cm2 = 15 × 10-4 m2, d = 3 cm = 0.03 m, and ε0 = 8.854 × 10-12 F/m. Plugging in the values: C = (8.854 × 10-12 F/m) × (15 × 10-4 m2) / (0.03 m) = 4.427 × 10-13 F, which is approximately 4.43 × 10-13 F.
Hint
Convert all units to SI (meters, square meters) before calculation and use C = ε0A/d.