What is the expression for the magnetic field at the center of a circular loop o

Practice Questions

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

Questions & Step-by-Step Solutions

What is the expression for the magnetic field at the center of a circular loop of radius R carrying a current I?
  • Step 1: Understand that a circular loop carries an electric current, which creates a magnetic field.
  • Step 2: Identify the radius of the loop as R and the current flowing through the loop as I.
  • Step 3: Recall the formula for the magnetic field at the center of a circular loop, which is derived from Ampere's Law.
  • Step 4: The formula for the magnetic field B at the center of the loop is B = μ₀I/(2πR), where μ₀ is the permeability of free space.
  • Step 5: Recognize that μ₀ is a constant value (approximately 4π x 10^-7 T·m/A) that relates to how magnetic fields behave in a vacuum.
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