Question

Two parallel plate capacitors X and Y, have the same area of plates and same separation between plates. X has air and Y with dielectric of constant 2, between its plates. They are connected in series to a battery of 12 V. The ratio of electrostatic energy stored in X and Y is ______.

विकल्प

• 4 : 1

• 1 : 4

• 2 : 1

• 1 : 2

Answer 1

Two parallel plate capacitors X and Y, have the same area of plates and same separation between plates. X has air and Y with dielectric of constant 2, between its plates. They are connected in series to a battery of 12 V. The ratio of electrostatic energy stored in X and Y is 2 : 1.

Explanation:

`"C"_x = (epsilon_0"A")/"d"  "C"_"y" = (2epsilon_0"A")/"d"`

`"U"_x = "Q"^2/(2"C"_x)  "U"_"y" = "Q"^2/(2 "C"_"y")`

`therefore "U"_x/"U"_"y" = "C"_"y"/"C"_x = (2"C"_x)/"C"_x = 2/1`