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

Practice Questions

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

Questions & Step-by-Step Solutions

In a circular loop of radius R carrying a current I, what is the magnetic field at the center of the loop?
Correct Answer: B = μ₀I/(2R)
  • Step 1: Understand that a circular loop is a shape that is round and has a radius R.
  • Step 2: Know that when an electric current I flows through the loop, it creates a magnetic field.
  • Step 3: Recognize that we want to find the strength of this magnetic field at the center of the loop.
  • Step 4: Use the formula for the magnetic field B at the center of a circular loop, which is B = μ₀I/(2R).
  • Step 5: Identify the symbols in the formula: μ₀ is a constant called 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 B.
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