Question

Inside a solenoid the magnetic field is :

• A. zero
• B. decreasing along the axis
• C. uniform
• D. increasing along the axis

Hint:

For a {long solenoid}, the magnetic field lines {inside} are:
Straight
Parallel to the axis
Evenly spaced This means the magnetic field inside (away from the ends) is strong and {uniform} (constant in magnitude and direction). The field outside is much weaker.

Answer 1

The Correct Option is C

Concept: A solenoid is a coil of wire, typically cylindrical, that acts as an electromagnet when current flows through it. The magnetic field produced by a solenoid has specific characteristics, especially within its core. Step 1: Characteristics of the Magnetic Field Inside a Long Solenoid For an ideal (infinitely long or very long compared to its diameter) solenoid carrying a steady current:
Uniformity: The magnetic field inside the solenoid, particularly in the central region far from the ends, is very nearly uniform. This means the field strength (magnitude) is constant, and the field lines are straight, parallel to the axis of the solenoid, and evenly spaced.
Direction: The magnetic field is directed along the axis of the solenoid. Its direction can be determined by the right-hand grip rule.
Strength: The magnitude of the magnetic field inside a long solenoid is given by \(B = \mu_0 n I\), where \(\mu_0\) is the permeability of free space, \(n\) is the number of turns per unit length, and \(I\) is the current. Near the ends of a finite solenoid, the magnetic field lines begin to diverge (fringe), and the field strength decreases. At the very end of a long solenoid, the field strength is approximately half of what it is deep inside. Step 2: Evaluating the options
(1) zero: Incorrect. A current-carrying solenoid produces a significant magnetic field inside.
(2) decreasing along the axis: This is true only if moving from the center towards one of the ends of a finite solenoid. It's not a general description for "inside a solenoid," which usually refers to the main internal region.
(3) uniform: This is the best description for the magnetic field well inside a long solenoid, far from the ends. In many contexts, "inside a solenoid" implies this ideal uniform region.
(4) increasing along the axis: This is incorrect. Step 3: Conclusion The most appropriate description of the magnetic field "inside a solenoid" (referring to the central region of a reasonably long solenoid) is that it is uniform. This uniformity is a key reason why solenoids are used in many applications.