According to Ampere's Law, the line integral of the magnetic field B around a closed path is equal to what?
Practice Questions
1 question
Q1
According to Ampere's Law, the line integral of the magnetic field B around a closed path is equal to what?
Zero
The product of permeability and current
The product of permittivity and charge
The electric field times the area
Ampere's Law states that the line integral of the magnetic field B around a closed path is equal to μ₀ times the total current I enclosed by the path.
Questions & Step-by-step Solutions
1 item
Q
Q: According to Ampere's Law, the line integral of the magnetic field B around a closed path is equal to what?
Solution: Ampere's Law states that the line integral of the magnetic field B around a closed path is equal to μ₀ times the total current I enclosed by the path.
Steps: 5
Step 1: Understand that Ampere's Law relates the magnetic field to electric current.
Step 2: Know that the line integral of the magnetic field B means you are measuring the magnetic field along a closed loop.
Step 3: Recognize that μ₀ is a constant called the permeability of free space, which helps relate magnetic fields to currents.
Step 4: Identify that the total current I is the sum of all currents that pass through the area enclosed by the closed path.
Step 5: Combine these ideas to understand that Ampere's Law states: the integral of B around a closed path = μ₀ × total current I enclosed.
