First slide

Dimensions of physical quantities

Question

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

Moderate

A

Resistance
B

Charge
C

Voltage
D

Current

Solution

$C = \frac{Δ q}{Δ V} = \frac{ε_{0} A}{d} O r ε_{0} \frac{A}{L} = \frac{Δ q}{Δ V} O r ε_{0} = \frac{(Δ q) L}{A \cdot (Δ V)} X = ε_{0} L \frac{Δ V}{Δ t} = \frac{(Δ q) L}{A (Δ V)} L \frac{Δ V}{Δ t} B u t [A] = [L^{2}] ∴ X = \frac{Δ q}{Δ t} = current$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App