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What is the magnetic field due to a current loop at a point on its axis?
What is the magnetic field due to a current loop at a point on its axis?
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Practice Questions
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Q1
What is the magnetic field due to a current loop at a point on its axis?
μ₀I/2R
μ₀I/4R
μ₀I/2R²
μ₀I/4R²
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Using Ampere's Law, B = μ₀I/2R² at a point on the axis of a current loop.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the magnetic field due to a current loop at a point on its axis?
Solution:
Using Ampere's Law, B = μ₀I/2R² at a point on the axis of a current loop.
Steps: 6
Show Steps
Step 1: Understand that a current loop is a circular wire carrying an electric current.
Step 2: Recognize that the magnetic field (B) is created around the wire due to the current flowing through it.
Step 3: Identify the point where you want to find the magnetic field; in this case, it is on the axis of the current loop.
Step 4: Recall Ampere's Law, which relates the magnetic field to the current and the distance from the wire.
Step 5: Use the formula B = μ₀I/2R², where μ₀ is 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 at the point on the axis.
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