Question

We know that inside solenoid the magnetic field are same at all point's and are parallel to each other

My question is why they are parallel as my teacher explained it as solenoid is set of multiple circular loops and one face coil form North pole while other will form South pole and magnetic field lines from both poles will join in parallel

I think this explanation is not correct

Any response would be appreciated

Answer 1

The magnetic field inside a current-carrying solenoid is uniform and parallel due to the shape of the solenoid and the equal contribution of each loop to the magnetic field. The field's strength can be described by the formula B = μ0nI, showing dependence on loops per unit length and current.

Step-by-step explanation:

The magnetic field inside a current-carrying solenoid is uniform in direction and magnitude because of the solenoid's shape and the arrangement of its loops. Each loop of wire within the solenoid contributes to an overall magnetic field, which is directed along the length of the solenoid. This causes magnetic field lines to be parallel to each other and exceptionally uniform.

The formula for the magnetic field strength inside a solenoid is B = μ0nI, where B is the magnetic field strength, μ0 is the permeability of free space, n is the number of loops per unit length, and I is the current. Since all the loops contribute equally and are closely spaced, the field lines inside the solenoid do not have much space to diverge, leading to them being almost exactly parallel and uniform throughout the interior, except near the ends.