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 × 10-12 C/Nm2.
Correct Answer
Option C is the correct answer.
Detailed Explanation
The capacitance of a parallel-plate capacitor is given by the formula C = ε0 * A / d, where ε0 is the permittivity of free space, A is the area of the plates, and d is the distance between them.Given: ε0 = 8.854 × 10-12 F/m, A = 15 cm2 = 15 × 10-4 m2, d = 3 cm = 3 × 10-2 m.C = (8.854 × 10-12) × (15 × 10-4) / (3 × 10-2) = 4.427 × 10-13 F. This matches option C.
Hint
Remember to convert all units to SI units (meters, square meters) before calculation and use the formula C = ε0A/d.