If a long straight conductor carries a current I, what is the magnetic field at

Practice Questions

Q1
If a long straight conductor carries a current I, what is the magnetic field at a distance r from the wire?
  1. μ₀I/(2πr)
  2. μ₀I/(4πr²)
  3. μ₀I/(2r)
  4. μ₀I/(πr²)

Questions & Step-by-Step Solutions

If a long straight conductor carries a current I, what is the magnetic field at a distance r from the wire?
  • Step 1: Understand that a long straight conductor is a wire that carries an electric current.
  • Step 2: Know that when current flows through the wire, it creates a magnetic field around it.
  • Step 3: Identify the distance from the wire where you want to find the magnetic field, which is denoted as 'r'.
  • Step 4: Recall Ampere's Law, which relates the magnetic field to the current and distance from the wire.
  • Step 5: Use the formula B = μ₀I/(2πr) to calculate the magnetic field, where B is the magnetic field, μ₀ is the permeability of free space, I is the current, and r is the distance from the wire.
  • Ampere's Law – Ampere's Law relates the magnetic field around a conductor to the current flowing through it.
  • Magnetic Field Calculation – Understanding how to calculate the magnetic field at a distance from a current-carrying wire.
  • Inverse Relationship – The magnetic field strength decreases inversely with distance from the wire.
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