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A quantity X is given by epsilon(0)L(Del...

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

A

resistance

B

charge

C

voltage

D

current

Text Solution

Verified by Experts

The correct Answer is:
D
As `C= (Deltaq)/(DeltaV)` or `epsilon_(0)(A)/(L)= (Deltaq)/(DeltaV)( :. C= (epsilon_(0)A)/(L))`
or `epsilon_(0)= ((Deltaq)L)/(A(DeltaV))`
`:. X= epsilon_(0)L((DeltaV))/(Deltat)= ((Deltaq)L)/(A(DeltaV))L((DeltaV))/(Deltat)` (using (i))
but `[A]= [L]^(2)`
`:. X= (Deltaq)/(Deltat)= "current"`
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