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A quantity X is given by in(0) L(DeltaV)...

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

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As capacity of parallel plate capacitor if given by
`C=(epsi_(0)A)/(d)`
which has the same dimension as of `epsi_(0)L`,
`:. X=epsi_(0)L. (DeltaV)/(Delta t)=(C Delta V)/(Delta t)=("charge")/("time")=` current
Thus quantity X has the dimension of current.
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