A circular loop of radius R carries a current I. What is the magnetic field at t

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

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

Step 1: Understand that a circular loop is a shape that is round and has a radius R.
Step 2: Know that the loop carries an electric current I, which means that electric charge is flowing through it.
Step 3: Recognize that the magnetic field is a force field created by the electric current in the loop.
Step 4: Learn the formula for the magnetic field at the center of the loop, which is B = (μ₀I)/(2R).
Step 5: Identify that μ₀ is a constant called the permeability of free space, which helps in calculating the magnetic field.
Step 6: Substitute the values of I (current) and R (radius) into the formula to find the magnetic field B.

Magnetic Field Due to Current – Understanding how a current-carrying loop generates a magnetic field and the application of the relevant formula.
Permeability of Free Space – Knowledge of the constant μ₀ and its role in calculating magnetic fields in free space.
Geometry of Circular Loops – Recognizing the significance of the radius R in determining the strength of the magnetic field at the center of the loop.