Question: What is the magnetic field at a distance r from an infinitely long straight wire carrying current I?
Options:
μ₀I/2πr
μ₀I/4πr
μ₀I/πr
0
Correct Answer: μ₀I/2πr
Solution:
Using Ampere\'s Law, B = μ₀I/2πr for an infinitely long straight wire.
What is the magnetic field at a distance r from an infinitely long straight wire
Practice Questions
Q1
What is the magnetic field at a distance r from an infinitely long straight wire carrying current I?
μ₀I/2πr
μ₀I/4πr
μ₀I/πr
0
Questions & Step-by-Step Solutions
What is the magnetic field at a distance r from an infinitely long straight wire carrying current I?
Step 1: Understand that we are looking for the magnetic field (B) around a long straight wire that carries an electric current (I).
Step 2: Recall that Ampere's Law helps us find the magnetic field around current-carrying wires.
Step 3: Ampere's Law states that the magnetic field (B) around a wire is proportional to the current (I) and inversely proportional to the distance (r) from the wire.
Step 4: The formula derived from Ampere's Law for an infinitely long straight wire is B = μ₀I / (2πr).
Step 5: In this formula, μ₀ is a constant called the permeability of free space, I is the current in the wire, and r is the distance from the wire.
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