Question

Write in little detail about Magnetic field of a long straight solenoid ...,................... I want the equations used ,.... And the derivation used of the equations ..thanks​

Answer 1

Answer:

★ The magnetic field inside a long straight solenoid-carrying current is the same at all points.

★ When current is passed through a solenoid, the magnetic fields act almost like that of a bar magnet. One end acts as the magnetic north pole, and the other end acts as the magnetic south pole.

★ The magnetic curves inside the solenoid are in parallel straight lines, which indicates that the magnetic field is same at all points inside the solenoid. However, the field lines outside the solenoid travels from one pole to the other

Answer 2

Magnetic field of a long straight solenoid...

Consider a solenoid which has long diameter and which carries a current $I_{0}$

Now see the attachment (page 1).

The magnetic field outside is small in practical as compared to the magnetic field inside.

This field lines are straight, uniform  and parallel ( if we not see at the edges).

Let take a rectangular path abcd in which one side of abcd is parallel to the axis of  solenoid (ab).

Now see the attachments i.e page 1, page 2 and page 3 (for angle ).