Which of the following is not a unit of self- | vedclass

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(C) The self-inductance $L$ is defined by the relation $\phi = LI$,where $\phi$ is magnetic flux and $I$ is current.Thus,the unit of $L$ is $Weber / A

Vedclass · Accepted Answer

$Joule - Ampere$

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(C) The self-inductance $L$ is defined by the relation $\phi = LI$,where $\phi$ is magnetic flux and $I$ is current.Thus,the unit of $L$ is $Weber / Ampere$ $(Wb/A)$,which is also known as Henry $(H)$.From the energy stored in an inductor,$U = \frac{1}{2} LI^2$,we have $L = \frac{2U}{I^2}$.This gives the unit as $Joule / Ampere^2$ or $Joule - Ampere^{-2}$.Since $V = L \frac{dI}{dt}$,we have $L = V \frac{dt}{dI}$. The unit is $Volt - Second / Ampere$. Since $Volt / Ampere = Ohm$,the unit is $Ohm - Second$.Comparing these with the options,$Weber / Ampere$,$Ohm - Second$,and $Joule - Ampere^{-2}$ are all valid units of self-inductance.Therefore,$Joule - Ampere$ is not a unit of self-inductance.

Which of the following is not a unit of self-inductance?

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