For a circular loop of radius R carrying a current I, what is the magnetic field

Practice Questions

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

Questions & Step-by-Step Solutions

For a circular loop of radius R carrying a current I, what is the magnetic field at the center of the loop?
  • Step 1: Understand that a circular loop is a wire shaped in a circle.
  • Step 2: Know that when current (I) flows through the wire, it creates a magnetic field.
  • Step 3: Identify the radius of the loop, which is given as R.
  • Step 4: Recognize that the formula for the magnetic field (B) at the center of the loop is B = μ₀I/(2πR).
  • Step 5: Understand that μ₀ is a constant called the permeability of free space.
  • Step 6: Plug in the values of I and R into the formula to calculate the magnetic field.
  • Magnetic Field of a Current Loop – The magnetic field generated at the center of a circular loop due to the current flowing through it.
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