What is the magnetic field at a distance r from an infinitely long straight wire

Practice Questions

Q1
What is the magnetic field at a distance r from an infinitely long straight wire carrying current I?
  1. μ₀I/2πr
  2. μ₀I/4πr
  3. μ₀I/πr
  4. 0

Questions & Step-by-Step Solutions

What is the magnetic field at a distance r from an infinitely long straight wire carrying current I?
  • Step 1: Understand that we are looking for the magnetic field (B) around a long straight wire that carries an electric current (I).
  • Step 2: Recall that Ampere's Law helps us find the magnetic field around current-carrying wires.
  • Step 3: Ampere's Law states that the magnetic field (B) around a wire is proportional to the current (I) and inversely proportional to the distance (r) from the wire.
  • Step 4: The formula derived from Ampere's Law for an infinitely long straight wire is B = μ₀I / (2πr).
  • Step 5: In this formula, μ₀ is a constant called the permeability of free space, I is the current in the wire, and r is the distance from the wire.
No concepts available.
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