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For a circular loop of radius R carrying a current I, what is the magnetic field
For a circular loop of radius R carrying a current I, what is the magnetic field at the center of the loop?
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Practice Questions
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Q1
For a circular loop of radius R carrying a current I, what is the magnetic field at the center of the loop?
B = μ₀I/(2R)
B = μ₀I/(4R)
B = μ₀I/(πR)
B = μ₀I/(2πR)
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The magnetic field at the center of a circular loop of radius R carrying current I is given by B = μ₀I/(2πR).
Questions & Step-by-step Solutions
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Q
Q: For 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 at the center of a circular loop of radius R carrying current I is given by B = μ₀I/(2πR).
Steps: 6
Show Steps
Step 1: Understand that a circular loop is a wire shaped in a circle.
Step 2: Know that when current (I) flows through the wire, it creates a magnetic field.
Step 3: Identify the radius of the loop, which is given as R.
Step 4: Recognize that the formula for the magnetic field (B) at the center of the loop is B = μ₀I/(2πR).
Step 5: Understand that μ₀ is a constant called the permeability of free space.
Step 6: Plug in the values of I and R into the formula to calculate the magnetic field.
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