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(a) Using Ampere's circuital law, obtain...

(a) Using Ampere's circuital law, obtain the expression for the magnetic field due to a long solenoid at a point inside the solenoid on its axis.
(b) In what respect is a toroid different from a solenoid ? Draw and copare the patern of the magnetic field lines in the two cases.
(c) How is the magnetic field inside a given solenoid made strong?

Text Solution

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(b) The toroid is a hollow circular ring on which a large number of turns of an insulated copper wire are closely wound. Thus, toroid can be viewed as a solenoid which has been bent into a circular shape to close on itself.
Magnetic field lines due to a solenoid and a toroid are given in fig. (a) and (b) respectivley.

Magnetic field inside a solenoid is uniform, strong and along the axis of solenoid and field lines are almost parallel lines. Magnetic field lines inside a toroid make a closed path.
(c ) Magnetic field inside a given solenoid be made strong by inserting a soft iron core inside the solenoid.
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(a)Using Ampere's circuital law,obtain the expression for the magnetic field due to a long solenoid at a point inside the solenoid on its axis. (b)In what respect is a toroid different from a solenoid?Draw and compare the pattern of the magnetic field lines in the two cases. (c)How is the magnetic field inside a given solenoid made strong?

The magnetic field inside finite solenoid is uniform

Knowledge Check

  • The magnetic field intensity due to a long solenoid at its end is

    A
    `mu_0 n I`
    B
    `2 mu_0 n I`
    C
    `mu_0 n I //2`
    D
    `sqrt(mu_0 n I)`

  • The magnetic field inside a solenoid is-

    A
    infinte
    B
    zero
    C
    uniform
    D
    non-uniform

  • The magnetic field inside a solenoid is

    A
    directly prportional to its length
    B
    inversely prportional to the total numbers of turn
    C
    inversely proportional to the current
    D
    directly proportional to the current

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