What is the magnetic field at the center of a circular loop of radius R carrying

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

Options:

Correct Answer: μ₀I/2R

Solution:

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

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

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

Step 1: Understand that a circular loop of wire carries an electric current (I).
Step 2: Recognize that the magnetic field (B) is created around the wire when current flows through it.
Step 3: Identify that we want to find the magnetic field specifically at the center of the circular loop.
Step 4: Use the formula for the magnetic field at the center of a circular loop, which is B = μ₀I/2R.
Step 5: In the formula, μ₀ is a constant called the permeability of free space, I is the current, and R is the radius of the loop.
Step 6: Plug in the values of I and R into the formula to calculate the magnetic field B.

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