Answer
339.6k+ views
Hint: To solve this type of question, one must know about the concept of Faraday’s law of EMI. By using this concept, we will find the total amount of charges passing through the circuit by substituting in the formula and solving it to get the required solution.
Formula used:
$e = \dfrac{{\Delta \phi }}{{\Delta t}}$
Where,
$e$ is the induced voltage,
$\Delta \Phi $ is the change in magnetic flux and
$\Delta t$ is the change in time.
Complete answer:
From Faraday’s law of EMI,emf induced in the circuit is given by,
$e = \dfrac{{\Delta \phi }}{{\Delta t}}$
And if $R$ is the resistance in the circuit then it becomes,
$I = \dfrac{e}{R}$
$ \Rightarrow I = \dfrac{{\Delta \phi }}{{\Delta t.R}}$
So, the total amount of charge passing through the circuit will become,
$
\because Q = I \times \Delta t \\
\Rightarrow Q = \dfrac{{\Delta \phi }}{{\Delta t.R}}.\Delta t \\
\Rightarrow Q = \dfrac{{\Delta \phi }}{R} \\
$
So, the total amount of charge passing through the circuit is given by $\dfrac{{\Delta \phi }}{R}$ .
Hence, the correct option is B.
Note:
Whenever the magnetic flux linked with a circuit changes an emf is induced in the circuit. The emf stays in the circuit as long as the flux keeps changing. The nature of the induced emf is such that it opposes the cause due to how it is produced, i.e., the flux changes.
Formula used:
$e = \dfrac{{\Delta \phi }}{{\Delta t}}$
Where,
$e$ is the induced voltage,
$\Delta \Phi $ is the change in magnetic flux and
$\Delta t$ is the change in time.
Complete answer:
From Faraday’s law of EMI,emf induced in the circuit is given by,
$e = \dfrac{{\Delta \phi }}{{\Delta t}}$
And if $R$ is the resistance in the circuit then it becomes,
$I = \dfrac{e}{R}$
$ \Rightarrow I = \dfrac{{\Delta \phi }}{{\Delta t.R}}$
So, the total amount of charge passing through the circuit will become,
$
\because Q = I \times \Delta t \\
\Rightarrow Q = \dfrac{{\Delta \phi }}{{\Delta t.R}}.\Delta t \\
\Rightarrow Q = \dfrac{{\Delta \phi }}{R} \\
$
So, the total amount of charge passing through the circuit is given by $\dfrac{{\Delta \phi }}{R}$ .
Hence, the correct option is B.
Note:
Whenever the magnetic flux linked with a circuit changes an emf is induced in the circuit. The emf stays in the circuit as long as the flux keeps changing. The nature of the induced emf is such that it opposes the cause due to how it is produced, i.e., the flux changes.
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)