Using Ampere's circutial law, obtain the expression for the magnetic field due to a long solenoid a point inside the solenoid on its axis

(a) Using Ampere’s circutial law, obtain the expression for the magnetic field due to a long solenoid 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.
© How is the magnetic field inside a given solenoid made strong ?



© Strengthing of magnetic field :
• By inserting a ferromagnetic substance inside the solenoid
• By increasing the amount of current through the solenoid.