What is the formula for the magnetic field at the center of a circular loop of r

Practice Questions

Q1
What is the formula for the magnetic field at the center of a circular loop of radius r carrying a current I? (2023)
  1. B = μ₀I/2r
  2. B = μ₀I/r
  3. B = μ₀I/4r
  4. B = μ₀I/πr

Questions & Step-by-Step Solutions

What is the formula for the magnetic field at the center of a circular loop of radius r carrying a current I? (2023)
  • Step 1: Understand that we are looking for the magnetic field (B) at the center of a circular loop.
  • Step 2: Identify the variables involved: 'I' is the current flowing through the loop, 'r' is the radius of the loop, and 'μ₀' is the permeability of free space, a constant value.
  • Step 3: Recall the formula for the magnetic field at the center of a circular loop, which is B = μ₀I/2r.
  • Step 4: Recognize that this formula shows how the magnetic field depends on the current (I) and the radius (r) of the loop.
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