For a closed loop of wire carrying current, what does the line integral of the magnetic field equal?
Practice Questions
1 question
Q1
For a closed loop of wire carrying current, what does the line integral of the magnetic field equal?
Zero
The product of current and resistance
μ₀ times the total current enclosed
The electric field times the area
According to Ampere's Law, the line integral of the magnetic field around a closed loop equals μ₀ times the total current enclosed by the loop.
Questions & Step-by-step Solutions
1 item
Q
Q: For a closed loop of wire carrying current, what does the line integral of the magnetic field equal?
Solution: According to Ampere's Law, the line integral of the magnetic field around a closed loop equals μ₀ times the total current enclosed by the loop.
Steps: 5
Step 1: Understand that we have a closed loop of wire. This means the wire forms a complete circle.
Step 2: Recognize that when current flows through the wire, it creates a magnetic field around it.
Step 3: Learn about the line integral, which is a way to measure the total magnetic field along the path of the loop.
Step 4: Know that Ampere's Law relates the magnetic field around a loop to the current flowing through it.
Step 5: According to Ampere's Law, the line integral of the magnetic field around the closed loop equals μ₀ (a constant) times the total current that is enclosed by the loop.
