The distance between the two plates of a parallel plate capacitor is doubled and the area of each plate is halved. If C is its initial capacitance, its final capacitance is equal to:

Step-by-step solution

The capacitance of parallel plate capacitor, C = ₀ ~A d (where, the symbols have their usual meanings.) Given, d^ =2 ~d & ~A ^ = A 2 Then, C ^ = ₀ ( A 2 ) 2 d = ₀ ~A 4 d = C 4