For a cylindrical conductor of radius R carrying current I, what is the magnetic
Practice Questions
Q1
For a cylindrical conductor of radius R carrying current I, what is the magnetic field at a point outside the cylinder?
0
μ₀I/2πr
μ₀I/4πr
μ₀I/πr
Questions & Step-by-Step Solutions
For a cylindrical conductor of radius R carrying current I, what is the magnetic field at a point outside the cylinder?
Step 1: Understand that we have a cylindrical conductor with a certain radius R and it carries a current I.
Step 2: Identify that we want to find the magnetic field (B) at a point that is outside the cylinder.
Step 3: Recall that for a long straight conductor, the magnetic field at a distance r from the center can be calculated using a specific formula.
Step 4: The formula for the magnetic field outside the cylindrical conductor is B = μ₀I / (2πr), where μ₀ is the permeability of free space.
Step 5: Note that 'r' is the distance from the center of the cylinder to the point where you want to measure the magnetic field.
Magnetic Field of a Current-Carrying Conductor – The magnetic field generated by a cylindrical conductor carrying a current can be calculated using Ampère's Law, particularly for points outside the conductor.
Dependence on Distance – The magnetic field strength decreases with distance from the conductor, as indicated by the formula B = μ₀I/2πr, where r is the distance from the center of the cylinder.