Question

Let $\ell ,r,c$ and $v$ represent inductance, resistance, capacitance and voltage, respectively. The dimension of $\frac{\ell }{rcv}$ is $SI$ units will be:

• A. $\left[LTA\right]$
• B. $\left[L{A}^{-2}\right]$
• C. $\left[A^{-1}\right]$
• D. $\left[L{T}^2\right]$

Answer 1

Answer: (C)

$\left[A^{-1}\right]$

$\left[\frac{\ell }{r}\right]=T$
$\left[CV\right]=AT$
So, $\left[\frac{\ell }{rCV}\right]=\frac{T}{AT}=A^{-1}$