Question

The capacitance of a parallel plate capacitor is 60 µF. If the distance between the plates is tripled and area doubled then new capacitance will be ______.

Options

• 10 µF

• 40 µF

• 80 µF

• 100 µF

Answer 1

The capacitance of a parallel plate capacitor is 60 µF. If the distance between the plates is tripled and area doubled then new capacitance will be 40 µF.

Explanation:

`"C"_1/"C"_"o" = (epsilon_"o""A"_1)/"d"_1 xx "d"/(epsilon_"o""A")`     ...`[(therefore "where" "A"_1 = 2"A"),("d"_1 = 3"d")]`

`"C"_1/"C"_"o" = (2"A")/"3d" xx "d"/"A" = 2/3`

`"C"_1 = 60 xx 2/3 = 40 mu"F"`