For a solenoid of length L and n turns per unit length carrying current I, what

Practice Questions

Q1
For a solenoid of length L and n turns per unit length carrying current I, what is the magnetic field inside the solenoid?
  1. μ₀nI
  2. μ₀I/n
  3. μ₀I/L
  4. μ₀nI/L

Questions & Step-by-Step Solutions

For a solenoid of length L and n turns per unit length carrying current I, what is the magnetic field inside the solenoid?
  • 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 of the solenoid: its length (L), the number of turns per unit length (n), and the current (I) flowing through it.
  • Step 3: Recognize that the magnetic field (B) inside a solenoid can be calculated using a specific formula.
  • Step 4: The formula for the magnetic field inside a solenoid is B = μ₀nI, where μ₀ is the permeability of free space (a constant).
  • Step 5: Plug in the values of n (turns per unit length) and I (current) into the formula to find the magnetic field B.
  • Magnetic Field in a Solenoid – The magnetic field inside a long solenoid is uniform and is determined by the product of the permeability of free space (μ₀), the number of turns per unit length (n), and the current (I) flowing through the solenoid.
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