In a circular loop of radius R carrying a current I, what is the magnetic field at the center of the loop?
Practice Questions
1 question
Q1
In a circular loop of radius R carrying a current I, what is the magnetic field at the center of the loop?
μ₀I/(2R)
μ₀I/(4R)
μ₀I/(2πR)
μ₀I/(4πR)
The magnetic field B at the center of a circular loop of radius R carrying current I is given by B = μ₀I/(2R).
Questions & Step-by-step Solutions
1 item
Q
Q: In a circular loop of radius R carrying a current I, what is the magnetic field at the center of the loop?
Solution: The magnetic field B at the center of a circular loop of radius R carrying current I is given by B = μ₀I/(2R).
Steps: 6
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.
