a quantity `X` is given by `epsilon_(0)L(DeltaV)/(Deltat)` where `in_(0)` is the permittivity of the free space, L is a length, `DeltaV` is a potential difference and `Deltat` is a time interval. The dimensinal formula for `X` is the same as that of

Options

A. resistence
B. charge
C. voltage
D. current

Answer

d

Explanation

`C = (Delta q)/(Delta V)` or `epsilon_(0) (A)/(L) = (Delta q)/(Delta V)` or `epsilon_(0) = ((Delta q) L)/(A -(Delta V))`
`X = epsilon_(0) L(Delta V)/(Delta t)= ((Delta q) L)/(A -A(Delta V))L (Delta V)/(Delta t)`
But `[A] = [L^(2)]`
`:. X = (Delta q)/(Delta t)= "currect"`