
The S.I. unit of inductance, the Henry can also be written as
$A.$ weber$ \div $ ampere
$B.$ volt second $ \div $ ampere
$C.$ joule $ \div $ ampere$^2$
$D.$ all of the above.
Answer
510k+ views
Hint: Here we will proceed by demonstrating all the parts one by one after that we can find out in how many ways S.I. the unit of inductance that is Henry can be written.
Complete step-by-step answer:
The S.I. the unit of inductance is Henry abbreviated as H. It is defined as the measure of electric current changes at one ampere per second resulting in an electromotive force of one volt across the inductor. Henry is a unit based on the 7 base. S.I. unit like meter(m), second(s), kilogram(kg), and ampere (A).
Let us solve part a
We know that self inductance L, is related to flux as
$\phi = L \times I$
$ \Rightarrow L = \dfrac{\phi }{I}$
Where, $\phi = $ weber, and
$I = $ ampere
Therefore, Henry can be written as $L = \dfrac{{weber}}{{ampere}}$
Now for part b, We know that
$e = L\dfrac{{dI}}{{dt}}$ (where L is constant)
Now, let us consider the units only,
$Volt = Henry\dfrac{{Ampere}}{{Second}}$
It can also be written as
$Volt \times second$ / ampere
Therefore, Henry can also be written as $Volt \times second$ / ampere
Now for part C We know that, the formula for energy dissipation, we will get
$
= \dfrac{1}{2}l{i^2} \\
\Rightarrow L = \dfrac{{joule}}{{amper{e^2}}} \\
$
Therefore, the correct option is D as Henry can be written as weber $ \div $ ampere, $volt - second \div ampere$ , joule$ \div amper{e^2}$
Note: Whenever we come up with this type of problem, one must know that Henry is the S.I. derived unit of electrical inductance. If a current of 1 ampere flowing through the coil produces flux linkage of 1 weber turn, the coil has a self- inductance of 1 henry. By using this approach we can easily solve this question.
Complete step-by-step answer:
The S.I. the unit of inductance is Henry abbreviated as H. It is defined as the measure of electric current changes at one ampere per second resulting in an electromotive force of one volt across the inductor. Henry is a unit based on the 7 base. S.I. unit like meter(m), second(s), kilogram(kg), and ampere (A).
Let us solve part a
We know that self inductance L, is related to flux as
$\phi = L \times I$
$ \Rightarrow L = \dfrac{\phi }{I}$
Where, $\phi = $ weber, and
$I = $ ampere
Therefore, Henry can be written as $L = \dfrac{{weber}}{{ampere}}$
Now for part b, We know that
$e = L\dfrac{{dI}}{{dt}}$ (where L is constant)
Now, let us consider the units only,
$Volt = Henry\dfrac{{Ampere}}{{Second}}$
It can also be written as
$Volt \times second$ / ampere
Therefore, Henry can also be written as $Volt \times second$ / ampere
Now for part C We know that, the formula for energy dissipation, we will get
$
= \dfrac{1}{2}l{i^2} \\
\Rightarrow L = \dfrac{{joule}}{{amper{e^2}}} \\
$
Therefore, the correct option is D as Henry can be written as weber $ \div $ ampere, $volt - second \div ampere$ , joule$ \div amper{e^2}$
Note: Whenever we come up with this type of problem, one must know that Henry is the S.I. derived unit of electrical inductance. If a current of 1 ampere flowing through the coil produces flux linkage of 1 weber turn, the coil has a self- inductance of 1 henry. By using this approach we can easily solve this question.
Recently Updated Pages
Master Class 12 Business Studies: Engaging Questions & Answers for Success

Master Class 12 English: Engaging Questions & Answers for Success

Master Class 12 Economics: Engaging Questions & Answers for Success

Master Class 12 Social Science: Engaging Questions & Answers for Success

Master Class 12 Maths: Engaging Questions & Answers for Success

Master Class 12 Chemistry: Engaging Questions & Answers for Success

Trending doubts
Which one of the following is a true fish A Jellyfish class 12 biology CBSE

Which are the Top 10 Largest Countries of the World?

Why is insulin not administered orally to a diabetic class 12 biology CBSE

a Tabulate the differences in the characteristics of class 12 chemistry CBSE

Why is the cell called the structural and functional class 12 biology CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
