Question:

The magnetic field produced by a current carrying solenoid is independent of its length and cross-sectional area. The magnetic field inside the solenoid is uniform.

Updated On: Jul 28, 2022
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but the Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If both Assertion and Reason are false.
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The Correct Option is B

Solution and Explanation

The magnetic field due to solenoid having $n$ number of turns/metre and carrying current $I$ is
It is obvious that magnetic field is independent of length and area. Also, magnetic field is uniform inside the solenoid.
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Concepts Used:

Magnetic Field

The magnetic field is a field created by moving electric charges. It is a force field that exerts a force on materials such as iron when they are placed in its vicinity. Magnetic fields do not require a medium to propagate; they can even propagate in a vacuum. Magnetic field also referred to as a vector field, describes the magnetic influence on moving electric charges, magnetic materials, and electric currents.

A magnetic field can be presented in two ways.

  • Magnetic Field Vector: The magnetic field is described mathematically as a vector field. This vector field can be plotted directly as a set of many vectors drawn on a grid. Each vector points in the direction that a compass would point and has length dependent on the strength of the magnetic force.
  • Magnetic Field Lines: An alternative way to represent the information contained within a vector field is with the use of field lines. Here we dispense with the grid pattern and connect the vectors with smooth lines.

Properties of Magnetic Field Lines

  • Magnetic field lines never cross each other
  • The density of the field lines indicates the strength of the field
  • Magnetic field lines always make closed-loops
  • Magnetic field lines always emerge or start from the north pole and terminate at the south pole.