A parallel plate condenser with oil (dielectric constant 2) between the plates has capacitance C. If oil is removed, the capacitance of capacitor becomes

Options

A. `C/2`
B. `(C)/(sqrt(2))`
C. `2C`
D. `sqrt(2C)`

Answer

A

Explanation

`C'=(KA epsi_(0))/(d)=(2A epsi_(0))/(d)`
When oil is removed, the capacitance becomes`C'=(Aepsi_(0))/(d)`
`therefore =(C')/(C)=(Aepsi_(0))/(d)xx(d)/(2A epsi_(0))=(1)/(2)" "therefore C'=(C)/(2)`