What is the relationship between the magnetic field and the distance from a long straight wire carrying current?

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Q: What is the relationship between the magnetic field and the distance from a long straight wire carrying current?

Solution: The magnetic field around a long straight wire is inversely proportional to the distance from the wire, as given by B = μ₀I/2πr.

Steps: 8

Step 1: Understand that a long straight wire can carry an electric current.
Step 2: Know that when current flows through the wire, it creates a magnetic field around it.
Step 3: The strength of this magnetic field is represented by the letter 'B'.
Step 4: The distance from the wire is represented by 'r'.
Step 5: The formula that relates the magnetic field (B) to the distance (r) is B = μ₀I/2πr.
Step 6: In this formula, μ₀ is a constant, I is the current, and r is the distance from the wire.
Step 7: The key point is that as you move further away from the wire (increase r), the magnetic field strength (B) decreases.
Step 8: This means that the magnetic field is inversely proportional to the distance from the wire.