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Question

The Magnetic field inside a solenoid

The correct answer is

is uniform

A solenoid is essentially a coil of wire wound into a tightly packed helix. When an electric current flows through the wire, it generates a magnetic field.

Solenoid Magnetic Field Characteristics

The magnetic field inside a solenoid has specific properties, especially when the solenoid is considered ideal (very long compared to its diameter):

  • Direction: The magnetic field lines inside the solenoid are parallel to the axis of the solenoid.
  • Magnitude: The strength of the magnetic field is approximately constant (uniform) throughout the interior of the solenoid, except very close to the ends.
  • Strength Dependency: The strength (B) of the magnetic field inside an ideal solenoid is determined by the current (I) flowing through the wire and the number of turns per unit length (n) of the solenoid. The formula is given by: $$B = \mu_0 n I$$ where $ \mu_0 $ is the permeability of free space. This formula indicates that the field strength B does not depend on the distance from the axis or the position along the length (away from the ends), confirming its uniformity.
  • Outside Field: The magnetic field outside an ideal solenoid is very weak and considered negligible.

Analyzing the Options

Let's analyze why the other options are not the best description for the magnetic field inside a solenoid:

  • Is zero: This is incorrect. A current-carrying solenoid produces a significant magnetic field inside.
  • Increases with distance from the axis: This is incorrect. For an ideal solenoid, the field is uniform across the cross-section, meaning it does not increase as you move away from the central axis.
  • Decreases with distance from the axis: While the field in a real, finite solenoid might decrease slightly as you move radially outward from the very center towards the edges of the windings, the most dominant and defining characteristic taught for the interior of a solenoid is its uniformity. The field is strongest along the central axis and remains relatively constant until near the ends. Compared to the other options, "uniform" best describes the field across most of the solenoid's interior.

Therefore, the most accurate description of the magnetic field inside a solenoid is that it is uniform.

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Important Questions from Half Wave Dipole Antenna

  1. A half wavelength dipole is kept in the x-y plane and oriented along 45° from the x-axis. Determine the direction of null in the radiation pattern for 0 ≤ Φ ≤ π. Here the angle θ (0 ≤ θ ≤ π) is measured from the z-axis, and the angle Φ (0 ≤ Φ ≤ 2π) is measured from the x-axis in the x-y plane.

  2. In standard TV receiving antenna the dipole element is

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