If a long straight wire carries a current I, what is the magnetic field B at a distance r from the wire?
Practice Questions
1 question
Q1
If a long straight wire carries a current I, what is the magnetic field B at a distance r from the wire?
B = μ₀I/(2πr)
B = μ₀I/(4πr^2)
B = μ₀I/(2r)
B = μ₀I/(πr^2)
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
1 item
Q
Q: If a long straight wire carries a current I, what is the magnetic field B at a distance r from the wire?
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 you want to find the magnetic field.
Step 3: Know the formula for the magnetic field B around a long straight wire: B = μ₀I/(2πr).
Step 4: Recognize that μ₀ is a constant called the permeability of free space, which has a value of approximately 4π × 10^-7 T·m/A.
Step 5: Plug in the values of I (current) and r (distance) into the formula to calculate B.
