Join 60,000+ competitive exam aspirants
The magnetic field inside a long current-carrying solenoid is:
Zero
Uniform
Decreasing
Increasing
Uniform
The magnetic field inside a long, ideal solenoid is uniform, meaning it has the same magnitude and direction at every point within the core. This occurs because the magnetic field lines inside are parallel and equally spaced, indicating a constant field intensity.
The magnetic field inside a long, ideal solenoid is uniform, meaning it has the same magnitude and direction at every point within the core. This occurs because the magnetic field lines inside are parallel and equally spaced, indicating a constant field intensity.
Think of a long, straight highway where all the traffic (magnetic flux) moves in perfect, parallel lanes; no matter which lane you are in, the flow rate is identical, much like the constant field intensity inside the solenoid.
B=╬╝0тАЛnI тАФ Magnetic field inside an ideal solenoid, where ╬╝0тАЛ is the permeability of free space, n is the number of turns per unit length, and I is the current.
According to Ampere's Circuital Law, for an ideal long solenoid, the magnetic field vectors produced by each turn of the coil add up such that the components perpendicular to the axis cancel out, while the components parallel to the axis sum up. This results in a strong, constant magnetic field along the axis and effectively zero field outside the solenoid.
The magnetic field is strongest inside the solenoid.
The magnetic field is negligible (effectively zero) outside the solenoid for an ideal case.
The direction of the field inside is parallel to the axis of the solenoid.
The strength of the field depends only on the current and the number of turns per unit length, not on the position inside.
Provides a simple way to create a uniform magnetic field for experiments.
Real-world solenoids have finite length, leading to 'fringe effects' where the field becomes non-uniform near the ends.
Electromagnets used in MRI machines
Inductors in electronic circuits
The field at the ends of a very long solenoid is approximately half the field at the center: BendтАЛ=21тАЛ╬╝0тАЛnI.
Option A is incorrect because the field is non-zero inside.
Option C and D are incorrect because the field magnitude does not change with location inside an ideal solenoid.
B is correct тАФ The magnetic field inside a long current-carrying solenoid is uniform.
Remember that for a finite solenoid, the field is only 'uniform' near the center; always look for the word 'long' or 'infinite' in the question to assume perfect uniformity.