In a circular loop of radius R carrying a current I, what is the magnetic field

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

Options:

Correct Answer: μ₀I/(2R)

Solution:

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

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

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

Correct Answer: B = μ₀I/(2R)

Step 1: Understand that a circular loop is a shape that is round and has a radius R.
Step 2: Know that when an electric current I flows through the loop, it creates a magnetic field.
Step 3: Recognize that we want to find the strength of this magnetic field at the center of the loop.
Step 4: Use the formula for the magnetic field B at the center of a circular loop, which is B = μ₀I/(2R).
Step 5: Identify the symbols 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.

Magnetic Field in Circular Loops – The magnetic field at the center of a circular loop is determined by the current flowing through the loop and the radius of the loop.
Biot-Savart Law – Understanding the application of the Biot-Savart Law can help derive the formula for the magnetic field in circular loops.