Question

Given that $m$ $=$ mass, $l$ $=$ length, $t$ $=$ time and $i$ $=$ current. The dimensions of $\frac{{ml}^2}{t^{3}i}$ are the same as that of:

• A. electric field
• B. electric potential
• C. capacitance
• D. inductance

Answer 1

The correct option is B electric potential

$\frac{m{l}^2}{t^{3}i}=M^1{L}^2{T}^{-3}{I}^{-1}$
$ElectricalField=M^1{L}^1{I}^{-1}{T}^{-3}$
$ElectricPotential=M^1{L}^2{I}^{-1}{T}^{-3}$
$Capacitance=M^{-1}{L}^{-2}{I}^2{T}^y$
$Inductance=M^1{L}^2{I}^{-2}{T}^{-2}$
Hence, option B is correct.