A parallel plate condenser with air as dielectric has capacity `C_(0)=(in_(0)A)/d`. A thin mica sheet of dielectric constant K and thickness t is introduced near the first plate and then moved with constant velocity v towards the other plate. The capacity of the condenser will be

Options

A. `(in_(0)A)/(d-t+t/k)`
B. `(in_(0)Av)/(d-t+t/k)`
C. `(in_(0)Av)/(d-t)`
D. `(in_(0)A)/(d-t)`

Answer

A

Explanation

The capacity of parallel plate condenser does not depend upon the velocity of the plate. Thus, if mica sheet of thickness t and dielectric K is introduced between the plates of parallel plate condenser, then its capacity is given by,
`(in_(0)A)/(d-t+t/k)`