If a long straight wire carries a current I, what is the magnetic field B at a distance r from the wire according to the Biot-Savart Law?
Practice Questions
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Q1
If a long straight wire carries a current I, what is the magnetic field B at a distance r from the wire according to the Biot-Savart Law?
B = (μ₀I)/(2πr)
B = (μ₀I)/(4πr²)
B = (μ₀I)/(r)
B = (μ₀I)/(2r)
The magnetic field B at a distance r from a long straight wire carrying current I is given by B = (μ₀I)/(2πr).
Questions & Step-by-step Solutions
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Q
Q: If a long straight wire carries a current I, what is the magnetic field B at a distance r from the wire 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 a long straight wire carrying current creates a magnetic field around it.
Step 2: Identify the variables: I is the current in the wire, r is the distance from the wire, and μ₀ is a constant called the permeability of free space.
Step 3: Recall the formula for the magnetic field B around a long straight wire: B = (μ₀I)/(2πr).
Step 4: Recognize that this formula shows how the magnetic field B depends on the current I and the distance r from the wire.
Step 5: Use the formula to calculate the magnetic field B if you know the values of I and r.
