Answer
Verified
466.2k+ views
Hint: In this question, we will learn about an ac generator through the definition and the diagram of an ac generator and the concept behind it. Then we will obtain an expression for the emf induced in the rotating coil in the presence of magnetic field. And by this knowledge and applying the formula required, we will be approaching our answer.
Step-By-Step answer:
Diagram-
According to Faraday’s law of electromagnetic induction a machine that converts available or given energy into electrical energy is known as a generator.
They are of two types AC Generator and DC Generator. In an ac generator loss are generally lower than the dc generator and there is a difference of size too in both generators i.e. the dc generator’s size is relatively bigger than the ac generators. In an ac generator because of the step-up feature the transmission link size is thinner.
Let us take t = 0 at instant. In the direction of the magnetic field the plain of a coil is perpendicular to the direction of magnetic field i.e. coil points area of vector in the same direction as that of magnetic field the plain of the coil is perpendicular on it coil points in the same direction of the magnetic field. Hence, the flux passing through the coil is maximum.
The coil through flux is passed at t = 0,
The rotation of coil on an axis in which angular velocity is constant i.e. $\omega $ as shown in the figure.
The coil rotated on an angle in time t it wt.
Rate of change of flux $
\dfrac{{d\theta }}{{dt}} = NBA\dfrac{d}{{dt}}(\cos \omega t) \\
\therefore \dfrac{{d\theta }}{{dt}} = NBA \times ( - \omega \sin \omega t) \\
\\
$
We get $\dfrac{{d\theta }}{{dt}} = - NBA\omega \sin \omega t$
Induced emf in the coil $E = \dfrac{{ - d\phi }}{{dt}}$
NOTE: Through the transformers ac generators can be stepped up and stepped down easily. AC generators which are of large power can be extremely hazardous. The basic difference between an ac and a dc generator is of their size, i.e. dc generator (current flowing in single direction) is much heavier and bigger than an ac generator (current flow based on the magnet’s movement). Hence the working.
Step-By-Step answer:
Diagram-
According to Faraday’s law of electromagnetic induction a machine that converts available or given energy into electrical energy is known as a generator.
They are of two types AC Generator and DC Generator. In an ac generator loss are generally lower than the dc generator and there is a difference of size too in both generators i.e. the dc generator’s size is relatively bigger than the ac generators. In an ac generator because of the step-up feature the transmission link size is thinner.
Let us take t = 0 at instant. In the direction of the magnetic field the plain of a coil is perpendicular to the direction of magnetic field i.e. coil points area of vector in the same direction as that of magnetic field the plain of the coil is perpendicular on it coil points in the same direction of the magnetic field. Hence, the flux passing through the coil is maximum.
The coil through flux is passed at t = 0,
The rotation of coil on an axis in which angular velocity is constant i.e. $\omega $ as shown in the figure.
The coil rotated on an angle in time t it wt.
Rate of change of flux $
\dfrac{{d\theta }}{{dt}} = NBA\dfrac{d}{{dt}}(\cos \omega t) \\
\therefore \dfrac{{d\theta }}{{dt}} = NBA \times ( - \omega \sin \omega t) \\
\\
$
We get $\dfrac{{d\theta }}{{dt}} = - NBA\omega \sin \omega t$
Induced emf in the coil $E = \dfrac{{ - d\phi }}{{dt}}$
NOTE: Through the transformers ac generators can be stepped up and stepped down easily. AC generators which are of large power can be extremely hazardous. The basic difference between an ac and a dc generator is of their size, i.e. dc generator (current flowing in single direction) is much heavier and bigger than an ac generator (current flow based on the magnet’s movement). Hence the working.
Recently Updated Pages
Who among the following was the religious guru of class 7 social science CBSE
what is the correct chronological order of the following class 10 social science CBSE
Which of the following was not the actual cause for class 10 social science CBSE
Which of the following statements is not correct A class 10 social science CBSE
Which of the following leaders was not present in the class 10 social science CBSE
Garampani Sanctuary is located at A Diphu Assam B Gangtok class 10 social science CBSE
Trending doubts
A rainbow has circular shape because A The earth is class 11 physics CBSE
Which are the Top 10 Largest Countries of the World?
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
What was the Metternich system and how did it provide class 11 social science CBSE
How do you graph the function fx 4x class 9 maths CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
What is BLO What is the full form of BLO class 8 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE