What is the expression for the magnetic field B at a distance r from a long straight wire carrying current I according to the Biot-Savart Law?

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Q: What is the expression for the magnetic field B at a distance r from a long straight wire carrying current I according to the Biot-Savart Law?

Solution: The magnetic field B at a distance r from a long straight wire carrying current I is given by B = (μ₀I)/(2πr).

Steps: 5

Step 1: Understand that we are looking for the magnetic field (B) created by a long straight wire that carries an electric current (I).
Step 2: Recall that the Biot-Savart Law helps us calculate the magnetic field due to a current-carrying wire.
Step 3: Recognize that the formula for the magnetic field B at a distance r from a long straight wire is derived from the Biot-Savart Law.
Step 4: The formula is B = (μ₀I)/(2πr), where μ₀ is the permeability of free space, I is the current, and r is the distance from the wire.
Step 5: Remember that this formula shows that the magnetic field B decreases as the distance r from the wire increases.