If a long straight conductor carries a current I, what is the magnetic field at a distance r from the wire?
Practice Questions
1 question
Q1
If a long straight conductor carries a current I, what is the magnetic field at a distance r from the wire?
μ₀I/(2πr)
μ₀I/(4πr²)
μ₀I/(2r)
μ₀I/(πr²)
According to Ampere's Law, the magnetic field B at a distance r from a long straight conductor carrying current I 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 at a distance r from the wire?
Solution: According to Ampere's Law, the magnetic field B at a distance r from a long straight conductor carrying current I is given by B = μ₀I/(2πr).
Steps: 5
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, which is denoted as 'r'.
Step 4: Recall Ampere's Law, which relates the magnetic field to the current and distance from the wire.
Step 5: Use the formula B = μ₀I/(2πr) to calculate the magnetic field, where B is the magnetic field, μ₀ is the permeability of free space, I is the current, and r is the distance from the wire.
