A long straight conductor carrying current I produces a magnetic field B at a distance r from it. What is the expression for B?

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Q: A long straight conductor carrying current I produces a magnetic field B at a distance r from it. What is the expression for B?

Solution: The magnetic field due to a long straight conductor is given by B = μ₀I/(2πr).

Steps: 6

Step 1: Understand that a long straight conductor is a wire that carries an electric current (I).
Step 2: Recognize that this current creates a magnetic field around the wire.
Step 3: Identify the distance from the wire where you want to find the magnetic field (r).
Step 4: Learn that the strength of the magnetic field (B) depends on the amount of current (I) and the distance (r) from the wire.
Step 5: Use the formula for the magnetic field around a long straight conductor, which is B = μ₀I/(2πr).
Step 6: In this formula, μ₀ is a constant called the permeability of free space, which helps relate current to the magnetic field.