What is the expression for the magnetic field B at a distance r from a long straight conductor carrying current I?
Practice Questions
1 question
Q1
What is the expression for the magnetic field B at a distance r from a long straight conductor carrying current I?
B = (μ₀I)/(2πr)
B = (μ₀I)/(4πr²)
B = (I)/(2πr)
B = (μ₀I²)/(2πr)
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
1 item
Q
Q: What is the expression for the magnetic field B at a distance r from a long straight conductor carrying current I?
Solution: 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 we are looking for the magnetic field (B) created by a long straight wire that carries an electric current (I).
Step 2: Recognize that the distance from the wire to the point where we want to measure the magnetic field is denoted as 'r'.
Step 3: Recall that the formula for the magnetic field around a long straight conductor is derived from Ampere's Law.
Step 4: The formula for the magnetic field (B) at a distance (r) from the wire is B = (μ₀I)/(2πr), where μ₀ is the permeability of free space.
Step 5: In this formula, μ₀ is a constant that helps relate the current to the magnetic field, and 2πr accounts for the circular nature of the magnetic field around the wire.
