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If a circular loop of radius R carries a current I, what is the magnetic field a
If a circular loop of radius R carries 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
If a circular loop of radius R carries a current I, what is the magnetic field at the center of the loop?
μ₀I/2R
μ₀I/4R
μ₀I/R
μ₀I/8R
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Using Ampere's Law, B = μ₀I/2R at the center of a circular loop.
Questions & Step-by-step Solutions
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Q
Q: If a circular loop of radius R carries a current I, what is the magnetic field at the center of the loop?
Solution:
Using Ampere's Law, B = μ₀I/2R at the center of a circular loop.
Steps: 7
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: Recall Ampere's Law, which helps us find the magnetic field (B) created by the current.
Step 5: Use the formula for the magnetic field at the center of a circular loop: B = (μ₀ * I) / (2 * R).
Step 6: Here, μ₀ is a constant called the permeability of free space.
Step 7: Plug in the values of I and R into the formula to find the magnetic field at the center.
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