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?
Practice Questions
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Q1
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?
μ₀I/(2πr)
μ₀I/(4πr^2)
μ₀I/(2r)
μ₀I/(4πr)
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 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 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.
