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 a current I?

Options:

Correct Answer: B = μ₀I/(2πR)

Solution:

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

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

What is the expression for the magnetic field 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, which creates a magnetic field.
Step 2: Identify the radius of the loop as R and the current flowing through the loop as I.
Step 3: Recall the formula for the magnetic field at the center of a circular loop, which is derived from Ampere's Law.
Step 4: The formula for the magnetic field B at the center of the loop is B = μ₀I/(2πR), where μ₀ is the permeability of free space.
Step 5: Recognize that μ₀ is a constant value (approximately 4π x 10^-7 T·m/A) that relates to how magnetic fields behave in a vacuum.

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