For a cylindrical conductor of radius R carrying current I, what is the magnetic

Practice Questions

Q1
For a cylindrical conductor of radius R carrying current I, what is the magnetic field at a point outside the cylinder?
  1. 0
  2. μ₀I/2πr
  3. μ₀I/4πr
  4. μ₀I/πr

Questions & Step-by-Step Solutions

For a cylindrical conductor of radius R carrying current I, what is the magnetic field at a point outside the cylinder?
  • Step 1: Understand that we have a cylindrical conductor with a certain radius R and it carries a current I.
  • Step 2: Identify that we want to find the magnetic field (B) at a point that is outside the cylinder.
  • Step 3: Recall that for a long straight conductor, the magnetic field at a distance r from the center can be calculated using a specific formula.
  • Step 4: The formula for the magnetic field outside the cylindrical conductor is B = μ₀I / (2πr), where μ₀ is the permeability of free space.
  • Step 5: Note that 'r' is the distance from the center of the cylinder to the point where you want to measure the magnetic field.
  • Magnetic Field of a Current-Carrying Conductor – The magnetic field generated by a cylindrical conductor carrying a current can be calculated using Ampère's Law, particularly for points outside the conductor.
  • Dependence on Distance – The magnetic field strength decreases with distance from the conductor, as indicated by the formula B = μ₀I/2πr, where r is the distance from the center of the cylinder.
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