Question

Which of the following quantities has the SI unit $kg{m}^2{s}^{-3}{A}^{-2}?$

• A. Resistance
• B. Inductance
• C. Capacitance
• D. Magnetic flux

Answer 1

Answer: (A)

$\mathrm{kg}{m}^2{s}^{-3}{A}^{-2}=\left[M{L}^2{T}^{-3}{A}^{-2}\right]$
$=\frac{\left[M{L}^2{T}^{-2}\right]}{\left[A^{2}T\right]}$
$=\frac{\left[M{L}^2{T}^{-2}\right]}{[AT][A]}$
$=\frac{\text{ Work }}{\text{ Charge }\times \text{ Current }}$
$=\frac{\text{ Voltage }}{\text{ Current }}=$ Resistance