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-
(i) 4:1
(ii) 1:4
(iii) 2:1
(iv) 1:2
(iii) 2:1
Explanation:
`"C"_{"x"}`=`\frac{"ε。A"}{"d"}` `"C"_{"y"}`=`\frac{"2ε。A"}{"d"}`
`"U"_{"x"}`=`\frac{"Q"^{2}}{"2C"_{"x"}}` `"U"_{"y"}`=`\frac{"Q"^{2}}{"2C"_{"y"}}`
`\frac{"U"_{"x"}}{"U"_{"y"}}` = `\frac{"C"_{"x"}}{"C"_{"y"}}` = `\frac{"2C"_{"x"}}{"C"_{"x"}}`
=`\frac{2}{1}`
= 2:1
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