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What is the magnetic field at the center of a circular loop of radius R carrying
What is the magnetic field at the center of a circular loop of radius R carrying a current I?
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Practice Questions
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Q1
What is the magnetic field at the center of a circular loop of radius R carrying a current I?
μ₀I/(2R)
μ₀I/(4R)
μ₀I/(R)
μ₀I/(8R)
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The magnetic field at the center of a circular loop is given by B = μ₀I/(2R).
Questions & Step-by-step Solutions
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Q
Q: What is the magnetic field at the center of a circular loop of radius R carrying a current I?
Solution:
The magnetic field at the center of a circular loop is given by B = μ₀I/(2R).
Steps: 6
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Step 1: Understand that a circular loop is a wire shaped in a circle.
Step 2: Know that when electric 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/(2R).
Step 5: Understand that μ₀ is a constant called the permeability of free space, which helps calculate the magnetic field.
Step 6: Plug in the values of I (current) and R (radius) into the formula to find the magnetic field.
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