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

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

Options:

  1. 0
  2. μ₀I
  3. μ₀nI
  4. μ₀nI/2

Correct Answer: μ₀nI

Solution: 

The magnetic field inside a long, straight solenoid is given by B = μ₀nI, where n is the number of turns per unit length and μ₀ is the permeability of free space.

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

Practice Questions

Q1
What is the magnetic field inside a long, straight solenoid carrying current I?
  1. 0
  2. μ₀I
  3. μ₀nI
  4. μ₀nI/2

Questions & Step-by-Step Solutions

What is the magnetic field inside a long, straight solenoid carrying current I?
Correct Answer: B = μ₀nI
  • Step 1: Understand what a solenoid is. A solenoid is a long coil of wire that creates a magnetic field when an electric current flows through it.
  • Step 2: Identify the current (I) flowing through the solenoid. This is the electric current that generates the magnetic field.
  • Step 3: Determine the number of turns per unit length (n). This means how many loops of wire are in a certain length of the solenoid.
  • Step 4: Know the constant μ₀, which is called the permeability of free space. It is a constant value used in magnetic field calculations.
  • Step 5: Use the formula B = μ₀nI to calculate the magnetic field (B) inside the solenoid. Here, you multiply μ₀ by n and then by I.
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