What is the expression for the magnetic field at the center of a circular loop o

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Question: What is the expression for the magnetic field at the center of a circular loop of radius R carrying current I?

Options:

Correct Answer: μ₀I/(2πR)

Solution:

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

What is the expression for the magnetic field at the center of a circular loop of radius R carrying current I?

What is the expression for the magnetic field at the center of a circular loop of radius R carrying current I?

Step 1: Understand that a circular loop carries an electric current (I).
Step 2: Recognize that the magnetic field (B) is created around the loop due to this current.
Step 3: Identify the radius of the loop, which is given as R.
Step 4: Recall the formula for the magnetic field at the center of a circular loop: B = μ₀I/(2R).
Step 5: Note that μ₀ is a constant called the permeability of free space.
Step 6: Substitute the values of I and R into the formula to find the magnetic field at the center.

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