1.

(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?

Answer»

Solution :(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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