What is the magnetic field inside a solenoid carrying current I with n turns per

Practice Questions

Q1
What is the magnetic field inside a solenoid carrying current I with n turns per unit length?
  1. μ₀nI
  2. μ₀I/n
  3. μ₀I
  4. μ₀nI/2

Questions & Step-by-Step Solutions

What is the magnetic field inside a solenoid carrying current I with n turns per unit length?
  • 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 variables in the formula. In the formula B = μ₀nI, B is the magnetic field, μ₀ is the permeability of free space (a constant), n is the number of turns of the wire per unit length, and I is the current flowing through the wire.
  • Step 3: Recognize that the magnetic field inside a long solenoid is uniform and directed along the axis of the solenoid.
  • Step 4: Use the formula B = μ₀nI to calculate the magnetic field. You need to know the values of n (turns per unit length) and I (current) to find B.
  • Step 5: Remember that this formula applies specifically to long solenoids, where the length is much greater than the diameter.
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