Question

This $Sl$ unit of inductance, the henry can be written as:

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

Answer 1

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

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

$\left(A\right)$

The inductance of an inductor is given by:

$L=\frac{\varphi }{I}$

So, its unit can be written as $weber/Ampere$.

$\left(B\right)$

Inductance can also be written as:

$\epsilon =-L\frac{di}{dt}$

Here, the unit of inductance can be written as:

$L=\frac{volt}{\frac{ampere}{second}}$ i.e. $\frac{volt-second}{ampere}$

$\left(C\right)$

The energy of inductor is given by:

$U=\frac{1}{2}L{I}^2$

The unit of inductance can be written as:

$L=\frac{Joule}{(ampere{)}^2}$

$\left(D\right)$

The energy can also be given as:

$U=I^{2}Rt=\frac{1}{2}L{I}^2$

Here, unit can be given as:

$L=Ohm-second$