What is the formula for the magnetic field at the center of a circular loop of r

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Question: What is the formula for the magnetic field at the center of a circular loop of radius r carrying a current I? (2023)

Options:

Correct Answer: B = μ₀I/2r

Exam Year: 2023

Solution:

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

What is the formula for the magnetic field at the center of a circular loop of radius r carrying a current I? (2023)

What is the formula for the magnetic field at the center of a circular loop of radius r carrying a current I? (2023)

Step 1: Understand that we are looking for the magnetic field (B) at the center of a circular loop.
Step 2: Identify the variables involved: 'I' is the current flowing through the loop, 'r' is the radius of the loop, and 'μ₀' is the permeability of free space, a constant value.
Step 3: Recall the formula for the magnetic field at the center of a circular loop, which is B = μ₀I/2r.
Step 4: Recognize that this formula shows how the magnetic field depends on the current (I) and the radius (r) of the loop.

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