What is the magnetic field due to a solenoid of length L, carrying n turns per u

Practice Questions

Q1
What is the magnetic field due to a solenoid of length L, carrying n turns per unit length and current I?
  1. μ₀nI
  2. μ₀nI/L
  3. μ₀nI/2
  4. μ₀nI/L²

Questions & Step-by-Step Solutions

What is the magnetic field due to a solenoid of length L, carrying n turns per unit length and current I?
  • Step 1: Understand what a solenoid is. A solenoid is a coil of wire that creates a magnetic field when an electric current passes through it.
  • Step 2: Identify the key components: length (L), number of turns per unit length (n), and current (I).
  • Step 3: Recognize that the magnetic field inside a long solenoid is uniform and can be calculated using a specific formula.
  • Step 4: The formula for the magnetic field (B) inside a long solenoid is B = μ₀nI, where μ₀ is the permeability of free space.
  • Step 5: Remember that 'n' is the number of turns of wire per unit length, and 'I' is the current flowing through the wire.
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