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Question

The quantity X=ϵ0LVt:ϵ0 is the permittivity of free space, L is length, V is potential difference and t is time. The dimensions of X are same as that of

A
Resistance
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B
Charge
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C
Voltage
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D
Current
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Solution

The correct option is C Current
The quantity X=ϵ0LVt free space =ϵ0 (permitting length =L)
Potential difference =V
time =t
X=ϵ0LVt
X=LVtatϵ0(1) P constant.
I=qt(2)
hence X is equal to I.

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