If a long straight wire carries a current I, what is the magnetic field at a dis

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Question: If a long straight wire carries a current I, what is the magnetic field at a distance r from the wire according to the Biot-Savart Law?

Options:

Correct Answer: μ₀I/(2πr)

Solution:

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

If a long straight wire carries a current I, what is the magnetic field at a distance r from the wire according to the Biot-Savart Law?

If a long straight wire carries a current I, what is the magnetic field at a distance r from the wire according to the Biot-Savart Law?

Correct Answer: B = μ₀I/(2πr)

Step 1: Understand that a long straight wire carrying current creates a magnetic field around it.
Step 2: Identify the variables: I is the current flowing through the wire, and r is the distance from the wire where we want to find the magnetic field.
Step 3: Recall the formula for the magnetic field B around a long straight wire, which is derived from the Biot-Savart Law.
Step 4: The formula is B = μ₀I/(2πr), where μ₀ is the permeability of free space (a constant).
Step 5: Plug in the values of I (current) and r (distance) into the formula to calculate the magnetic field B.

Biot-Savart Law – The Biot-Savart Law describes how electric currents produce magnetic fields, specifically how the magnetic field at a point in space is proportional to the current and inversely proportional to the distance from the wire.
Magnetic Field Calculation – Understanding how to derive the magnetic field around a long straight wire using the formula B = μ₀I/(2πr) and the significance of each variable.