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If a long straight conductor carries a current I, what is the magnetic field B a
If a long straight conductor carries a current I, what is the magnetic field B at a distance r from the wire?
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Practice Questions
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Q1
If a long straight conductor carries a current I, what is the magnetic field B at a distance r from the wire?
B = μ₀I/(2πr)
B = μ₀I/(4πr²)
B = μ₀I/(2r)
B = μ₀I/(πr²)
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According to Ampere's Law, the magnetic field B around a long straight conductor is given by B = μ₀I/(2πr).
Questions & Step-by-step Solutions
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Q
Q: If a long straight conductor carries a current I, what is the magnetic field B at a distance r from the wire?
Solution:
According to Ampere's Law, the magnetic field B around a long straight conductor is given by B = μ₀I/(2πr).
Steps: 6
Show Steps
Step 1: Understand that a long straight conductor is a wire that carries an electric current.
Step 2: Know that when current flows through the wire, it creates a magnetic field around it.
Step 3: Identify the distance from the wire where you want to find the magnetic field (this is 'r').
Step 4: Remember Ampere's Law, which helps us calculate the magnetic field around the wire.
Step 5: Use the formula B = μ₀I/(2πr) to find the magnetic field B.
Step 6: In the formula, μ₀ is a constant (the permeability of free space), I is the current in the wire, and r is the distance from the wire.
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