Question

The SI unit of the inductance, the henry can be written as:
(given energy = $\frac{L{I}^2}{2}$), where $L$ is inductance and $I$ is electric current.

• A. Joule
• B. volt-second / ampere
• C. ${\text{joule/(ampere)}}^2$
• D. ohm-second

Answer 1

Answer: (B), (C), (D)

The correct options are
B volt-second / ampere
C ${\text{joule/(ampere)}}^2$
D ohm-second

(a) The given formula suggests that unit of current will be there with unit of energy.
(b) Energy=$Vq$ and $q=IT$
(c) $U=\frac{1}{2}L{i}^2$
$\therefore L=\frac{2U}{i^2}=\frac{\text{joule}}{{\text{(ampere)}}^2}$
(d) $U=\frac{1}{2}L{i}^2=i^{2}Rt$
$\therefore L=Rt$ or henry = ohm-second