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A quantity X is given by epsilon(p) L(d...

`A` quantity` X` is given by `epsilon_(p) L(delta V)/(delta t)` , where `epsilon_(p)` is the permitivity of free space ,L is a length , `delta V` is a potential diffrence and ` deltat ` is a time interval . The dimensional formula for `X` is the seme as that of

A

resistance

B

charge

C

voltage

D

current

Text Solution

Verified by Experts

The correct Answer is:
D
`C = (Delta q)/(Delta V) = (epsilon_(0)A)/(d)`
or ` epsilon_(0) = (A)/(L) = (Delta q)/(DeltaV) `
or ` epsilon_(0) = ((Delta q) L)/(A(Delta V))`
` X = epsilon_(0) L (Delta V)/(Delta t)`
` = ((Delta q)L)/(A(DeltaV)) L (Delta V)/(Delta t) `
but ` [A] = [L^(2)]`
:.` X = (Delta q)/(Delta t) = current`
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Knowledge Check

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