Let l, r, c and v represent inductance, resistance, capacitance and voltage, respectively. The dimension (l/rcv)in SI units will be:

Question

Let l, r, c and v represent inductance, resistance, capacitance and voltage, respectively. The dimension (l/rcv)in SI units will be: (A) [LTA] (B) [LA-2] (C) [A-1] (D) [LT2]

Tardigrade Admin · Accepted Answer

[(ℓ/r)] = T [CV] = AT So, [(ℓ/rCV)] = (T/AT) = A-1

Q. Let $l, r, c$ and $v$ represent inductance, resistance, capacitance and voltage, respectively. The dimension $\frac{l}{rc v}$ in SI units will be:

$[L T A]$

[ $L A^{- 2}$ ]

$[A^{- 1}]$

$[L T^{2}]$

$[\frac{ℓ}{r}] = T$
$[C V] = A T$
So, $[\frac{ℓ}{r C V}] = \frac{T}{A T} = A^{- 1}$

Q. Let l,r,c and v represent inductance, resistance, capacitance and voltage, respectively. The dimension rcvl​in SI units will be:

[LTA]

[LA−2]

[A−1]

[LT2]