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A parallel plate capacitor with air betw...

A parallel plate capacitor with air between plates (dielectric constant K =2) has a capacitance C. If the air is removed, then capacitance of the capacitor is

A

`(C)/(sqrt2)`

B

`(C)/(2)`

C

`sqrt2C`

D

2C

Text Solution

Verified by Experts

The correct Answer is:
B

The capacity of parallel plate capacitor is given by
`C=(epsilon_(0)A)/(d)`
When plates of capacitor are separated by a dielectric medium of dielectric constant K,
then `" "C_("medium")=KC_("air")`
`therefore" "C_("air")=(C_("medium"))/(K)=(C)/(2)`
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