What is the magnetic field strength at the center of a circular loop of radius r

Practice Questions

Q1
What is the magnetic field strength at the center of a circular loop of radius r carrying a current I?
  1. μ0I/2r
  2. μ0I/r
  3. μ0I/4r
  4. μ0I/πr

Questions & Step-by-Step Solutions

What is the magnetic field strength at the center of a circular loop of radius r carrying a current I?
  • Step 1: Understand that a circular loop carries an electric current (I).
  • Step 2: Know that the magnetic field strength (B) is what we want to find at the center of this loop.
  • Step 3: Recognize that the formula for the magnetic field at the center of a circular loop is B = (μ0I)/(2r).
  • Step 4: Identify the variables in the formula: μ0 is the permeability of free space, I is the current, and r is the radius of the loop.
  • Step 5: Plug in the values of I and r into the formula to calculate B.
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