If a circular loop of radius R carries a current I, what is the magnetic field a

Practice Questions

Q1
If a circular loop of radius R carries a current I, what is the magnetic field at the center of the loop?
  1. μ₀I/2R
  2. μ₀I/4R
  3. μ₀I/R
  4. μ₀I/8R

Questions & Step-by-Step Solutions

If a circular loop of radius R carries 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: Recall Ampere's Law, which helps us find the magnetic field (B) created by the current.
  • Step 5: Use the formula for the magnetic field at the center of a circular loop: B = (μ₀ * I) / (2 * R).
  • Step 6: Here, μ₀ is a constant called the permeability of free space.
  • Step 7: Plug in the values of I and R into the formula to find the magnetic field at the center.
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