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The phase difference between the flux li...

The phase difference between the flux linkage and the induced e.m.f. in a rotating coil in a uniform magnetic field

A

`pi`

B

`pi//2`

C

`pi//4`

D

`pi//6`

Text Solution

Verified by Experts

The correct Answer is:
B
`varphi=BA cos theta.(dtheta)/(dt)=BA((dtheta)/(dt))cos(90+theta)`
here phase difference=90^@)`.
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Prove theoretically the relation between the emf induced and the rate of change of magnetic flux in a coil moving in a uniform magnetic field.

Faraday's second law of EMI says that the magnitude of e.m.f. induced in a cuicuit is directly proportional to the rate of change of magnetic flux linked with circuit, i.e., e prop (d phi)/(dt) . It means if the magnetic flux linked with a circuit changes at a faster rate, the induced e.m.f. is larger and vice-versa. Read the above passage and answer the following question : (i) Coil A is held in a very strong magnetic field and coil B is held in a weak magnetic field. In which coil do you expect larger induced e.m.f. ? (ii) A coil is moved in a uniform magnetic field. When do you expect induced e.m.f. in the coil ? (iii) What values of life do you learn from Faraday's second law of EMI ?

Knowledge Check

  • An emf induced in a coil rotating in a uniform magnetic field is given by

    A
    `e=e_(0)sin omegat`
    B
    `e_(0)=esinomegat`
    C
    `e=sinomegat`
    D
    `e=e_(0)sin omega`

  • The induced e.m.f. in a coil does not depend on

    A
    The number of turns in the coil
    B
    The rate of change of magnetic flux
    C
    Time of rotation
    D
    The resistance of the circuit

  • The maximum value of emf indued in a coil rotating in a uniform magnetic field is called as

    A
    peak emf
    B
    rms emf
    C
    D.C. emf
    D
    all of these

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    Obtain an expression for the emf induced in a coil rotating with a uniform angular velocity in a uniform magnetic field. Show graphically the variation of the emf with time t.

    To induce an e.m.f. in a coil, the linking magnetic flux

    Consider the following statements. The flux can be altered by changing the shape of a coil in magnetic field or rotating coil in a magnetic field such that the angle theta between B and A charges. By charging the shape of a coil or the angle theta between B and A, an emf is induced in the coil. Which of the above statements is/are correct? Choose the most appropriate option.

    Identify the correct statement I. The flux can be altered by changing the shape of a coil in a magnetic field or rotating coil in a magnetic field such that the angle between B and A changes. II. By changing the shape of a coil or the angle between B and A, an emf is induced in the coil. Which of the above statement(s) is/are correct?

    Assertion If a loop is placed in a non-uniform (with respect to position) magnetic field, then induced emf is produced in the loop. Reason In a non-uniform magnetic field, magnetic flux passing through the loop will change. Therefore, induced emf is produced.

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