Answer
417.9k+ views
Hint: The magnetic flux depends on two factors. That is the magnetic field and the area of the loop. Thus calculate the magnetic flux for 80 turns which is the product of the magnetic field and area. Then find the time derivative of flux. This is obtained by differentiating magnetic flux density with respect to time which is equal to its emf. According to Faraday’s law rate of change of magnetic flux is equal to the induced emf.
Formula used:
The magnetic flux,
$\phi =B\times A$
where B is the magnetic field
A is the area
According to Faraday’s law,
$emf=-\dfrac{d\phi }{dt}$
Complete step-by-step solution
The magnetic flux,
$\phi =B\times A$
where, B is the magnetic field
A is the area
Then the magnetic flux in 80 turns is given by,
$\begin{align}
& \phi =0.01\times 80 \\
& \therefore \phi =0.8T \\
\end{align}$
Differentiating $\phi $ with respect to time t we get,
$\dfrac{d\phi }{dt}=\dfrac{0.8}{t}$
Given that t=0.1second
$\begin{align}
& \Rightarrow \dfrac{d\phi }{dt}=\dfrac{0.8}{0.1} \\
& \therefore \dfrac{d\phi }{dt}=8V \\
& \\
\end{align}$
According to Faraday’s law, the rate of change of magnetic flux is equal to the induced emf. The induced emf is equal to the negative rate of change in magnetic flux. The negative sign shows that the induced emf is opposite to the change in magnetic flux.
We know that,
$emf=-\dfrac{d\phi }{dt}$
Thus the induced emf is 8V. Hence, option(A) is correct.
Note: According to Faraday’s law rate of change of magnetic flux is equal to the induced emf. The magnetic flux depends on two factors. That is the magnetic field and the area of the loop. The induced emf is equal to the negative rate of change in magnetic flux. The negative sign shows that the induced emf is opposite to the change in magnetic flux.
Formula used:
The magnetic flux,
$\phi =B\times A$
where B is the magnetic field
A is the area
According to Faraday’s law,
$emf=-\dfrac{d\phi }{dt}$
Complete step-by-step solution
The magnetic flux,
$\phi =B\times A$
where, B is the magnetic field
A is the area
Then the magnetic flux in 80 turns is given by,
$\begin{align}
& \phi =0.01\times 80 \\
& \therefore \phi =0.8T \\
\end{align}$
Differentiating $\phi $ with respect to time t we get,
$\dfrac{d\phi }{dt}=\dfrac{0.8}{t}$
Given that t=0.1second
$\begin{align}
& \Rightarrow \dfrac{d\phi }{dt}=\dfrac{0.8}{0.1} \\
& \therefore \dfrac{d\phi }{dt}=8V \\
& \\
\end{align}$
According to Faraday’s law, the rate of change of magnetic flux is equal to the induced emf. The induced emf is equal to the negative rate of change in magnetic flux. The negative sign shows that the induced emf is opposite to the change in magnetic flux.
We know that,
$emf=-\dfrac{d\phi }{dt}$
Thus the induced emf is 8V. Hence, option(A) is correct.
Note: According to Faraday’s law rate of change of magnetic flux is equal to the induced emf. The magnetic flux depends on two factors. That is the magnetic field and the area of the loop. The induced emf is equal to the negative rate of change in magnetic flux. The negative sign shows that the induced emf is opposite to the change in magnetic flux.
Recently Updated Pages
Mark and label the given geoinformation on the outline class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
When people say No pun intended what does that mea class 8 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Name the states which share their boundary with Indias class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give an account of the Northern Plains of India class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Advantages and disadvantages of science
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Bimbisara was the founder of dynasty A Nanda B Haryanka class 6 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
10 examples of evaporation in daily life with explanations
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
How do you graph the function fx 4x class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)