A circular loop of radius R carries a current I. What is the magnetic field at the center of the loop?
Practice Questions
1 question
Q1
A circular loop of radius R carries a current I. What is the magnetic field at the center of the loop?
μ₀I/(2R)
μ₀I/R
μ₀I/(4R)
μ₀I/(8R)
The magnetic field at the center of a circular loop carrying current I is given by the formula B = (μ₀I)/(2R), where μ₀ is the permeability of free space.
Questions & Step-by-step Solutions
1 item
Q
Q: A circular loop of radius R carries a current I. What is the magnetic field at the center of the loop?
Solution: The magnetic field at the center of a circular loop carrying current I is given by the formula B = (μ₀I)/(2R), where μ₀ is the permeability of free space.
Steps: 6
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.
