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What is the magnetic field inside a long, straight solenoid carrying current?

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Question: What is the magnetic field inside a long, straight solenoid carrying current?

Options:

  1. Zero
  2. Uniform and parallel to the axis
  3. Varies with distance
  4. Concentric circles

Correct Answer: Uniform and parallel to the axis

Solution:

The magnetic field inside a long, straight solenoid is uniform and parallel to the axis of the solenoid, given by B = μ₀nI, where n is the number of turns per unit length.

What is the magnetic field inside a long, straight solenoid carrying current?

Practice Questions

Q1
What is the magnetic field inside a long, straight solenoid carrying current?
  1. Zero
  2. Uniform and parallel to the axis
  3. Varies with distance
  4. Concentric circles

Questions & Step-by-Step Solutions

What is the magnetic field inside a long, straight solenoid carrying current?
  • Step 1: Understand what a solenoid is. A solenoid is a long coil of wire that creates a magnetic field when an electric current passes through it.
  • Step 2: Know that when current flows through the solenoid, it generates a magnetic field inside and around it.
  • Step 3: Recognize that the magnetic field inside a long solenoid is uniform, meaning it has the same strength and direction at every point inside.
  • Step 4: Identify the direction of the magnetic field. It runs parallel to the axis of the solenoid, which is the center line running through its length.
  • Step 5: Learn the formula for calculating the magnetic field inside the solenoid: B = μ₀nI.
  • Step 6: Understand the variables in the formula: B is the magnetic field strength, μ₀ is the permeability of free space (a constant), n is the number of turns of wire per unit length of the solenoid, and I is the current flowing through the wire.
  • Step 7: Conclude that the magnetic field strength depends on how tightly the wire is wound (n) and how much current (I) is flowing through it.
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