What is the magnetic field due to a current loop at a point on its axis?

Practice Questions

Q1
What is the magnetic field due to a current loop at a point on its axis?
  1. μ₀I/2R
  2. μ₀I/4R
  3. μ₀I/2R²
  4. μ₀I/4R²

Questions & Step-by-Step Solutions

What is the magnetic field due to a current loop at a point on its axis?
  • Step 1: Understand that a current loop is a circular wire carrying an electric current.
  • Step 2: Recognize that the magnetic field (B) is created around the wire due to the current flowing through it.
  • Step 3: Identify the point where you want to find the magnetic field; in this case, it is on the axis of the current loop.
  • Step 4: Recall Ampere's Law, which relates the magnetic field to the current and the distance from the wire.
  • Step 5: Use the formula B = μ₀I/2R², where μ₀ is the permeability of free space, I is the current, and R is the radius of the loop.
  • Step 6: Plug in the values of I and R into the formula to calculate the magnetic field at the point on the axis.
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