What is the magnetic field due to a current loop at a point on its axis?

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Question: What is the magnetic field due to a current loop at a point on its axis?

Options:

Correct Answer: μ₀I/2R²

Solution:

Using Ampere\'s Law, B = μ₀I/2R² at a point on the axis of a current loop.

What is the magnetic field due to a current loop at a point on its axis?

What is the magnetic field due to a current loop at a point on its axis?

Step 1: Understand that a current loop is a circular wire carrying an electric current.
Step 2: Recognize that the magnetic field (B) is created around the wire due to the current flowing through it.
Step 3: Identify the point where you want to find the magnetic field; in this case, it is on the axis of the current loop.
Step 4: Recall Ampere's Law, which relates the magnetic field to the current and the distance from the wire.
Step 5: Use the formula B = μ₀I/2R², where μ₀ is 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 at the point on the axis.

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