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Standard XII

Physics

Capacitance of a Random Conductor

A quantity X ...

Question

A quantity X is given by $ϵ_{0} L \frac{Δ V}{Δ T}$ where so is the permittivity of the free space, L is a length. $Δ V$ is a potential difference and $Δ t$ is a time interval. The dimensional formula for X is the same as that of

resistance

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current

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Solution

The correct option is B current
$∵ [ϵ_{0} L]$ = [Capacitance C]

$ϵ_{0} L \frac{Δ V}{Δ t}$

$= \frac{C Δ V}{Δ t} = \frac{Δ q}{Δ t}$

$= \frac{c h a r g e}{t i m e} = c u r r e n t$ .

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A quantity X is given by ϵ0LΔVΔT where so is the permittivity of the free space, L is a length. ΔV is a potential difference and Δt is a time interval. The dimensional formula for X is the same as that of

The correct option is B current∵[ϵ0L] = [Capacitance C]ϵ0LΔVΔt=CΔVΔt=ΔqΔt=chargetime=current.

A quantity X is given by $ϵ_{0} L \frac{Δ V}{Δ T}$ where so is the permittivity of the free space, L is a length. $Δ V$ is a potential difference and $Δ t$ is a time interval. The dimensional formula for X is the same as that of

The correct option is B current
$∵ [ϵ_{0} L]$ = [Capacitance C]

$ϵ_{0} L \frac{Δ V}{Δ t}$

$= \frac{C Δ V}{Δ t} = \frac{Δ q}{Δ t}$

$= \frac{c h a r g e}{t i m e} = c u r r e n t$ .