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

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Question: What is the magnetic field strength at the center of a circular loop of radius r carrying a current I?

Options:

Correct Answer: μ0I/r

Solution:

The magnetic field at the center of a circular loop is given by B = (μ0I)/(2r).

What is the magnetic field strength at the center of a circular loop of radius r carrying a current I?

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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