According to Ampere's Law, what is the line integral of the magnetic field aroun
Practice Questions
Q1
According to Ampere's Law, what is the line integral of the magnetic field around a closed loop equal to?
0
μ₀ times the total current through the loop
μ₀ times the total charge
None of the above
Questions & Step-by-Step Solutions
According to Ampere's Law, what is the line integral of the magnetic field around a closed loop equal to?
Step 1: Understand that Ampere's Law relates the magnetic field (B) to electric current.
Step 2: Recognize that a closed loop is an imaginary path that forms a complete circle.
Step 3: Know that the line integral of B means you are adding up the magnetic field along that closed loop.
Step 4: Identify that μ₀ is a constant called the permeability of free space, which helps relate current to magnetic fields.
Step 5: Realize that the total current through the loop is the sum of all currents that pass through the area enclosed by the loop.
Step 6: Combine these ideas to conclude that the line integral of B around the closed loop equals μ₀ times the total current through the loop.
Ampere's Law – Ampere's Law relates the magnetic field around a closed loop to the electric current passing through the loop, expressed mathematically as the line integral of the magnetic field B being equal to μ₀ times the total current I enclosed by the loop.
