What is the magnetic field at the center of a circular loop of radius R carrying

Practice Questions

Q1
What is the magnetic field at the center of a circular loop of radius R carrying a current I?
  1. μ₀I/(2R)
  2. μ₀I/(4R)
  3. μ₀I/(R)
  4. μ₀I/(8R)

Questions & Step-by-Step Solutions

What is the magnetic field at the center of a circular loop of radius R carrying a current I?
  • Step 1: Understand that a circular loop is a wire shaped in a circle.
  • Step 2: Know that when electric 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/(2R).
  • Step 5: Understand that μ₀ is a constant called the permeability of free space, which helps calculate the magnetic field.
  • Step 6: Plug in the values of I (current) and R (radius) into the formula to find the magnetic field.
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