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 current I?
  1. μ₀I/(2R)
  2. μ₀I/(4R)
  3. μ₀I/(2πR)
  4. μ₀I/(4πR)

Questions & Step-by-Step Solutions

What is the expression for the magnetic field at the center of a circular loop of radius R carrying current I?
  • Step 1: Understand that a circular loop carries an electric current (I).
  • Step 2: Recognize that the magnetic field (B) is created around the loop due to this current.
  • Step 3: Identify the radius of the loop, which is given as R.
  • Step 4: Recall the formula for the magnetic field at the center of a circular loop: B = μ₀I/(2R).
  • Step 5: Note that μ₀ is a constant called the permeability of free space.
  • Step 6: Substitute the values of I and R into the formula to find the magnetic field at the center.
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