In a circular path of radius r around a long straight wire carrying current I, w
Practice Questions
Q1
In a circular path of radius r around a long straight wire carrying current I, what is the line integral of the magnetic field?
0
μ₀I
μ₀I/2
μ₀I/4
Questions & Step-by-Step Solutions
In a circular path of radius r around a long straight wire carrying current I, what is the line integral of the magnetic field?
Step 1: Understand that we have a long straight wire carrying a current I.
Step 2: Recognize that the magnetic field (B) created by this current forms circular loops around the wire.
Step 3: Identify the radius of the circular path around the wire, which is given as r.
Step 4: Recall Ampere's Law, which states that the line integral of the magnetic field B around a closed loop is equal to μ₀ times the total current I passing through the loop.
Step 5: Apply Ampere's Law to our circular path: the line integral of B around the path is equal to μ₀I.
Step 6: Conclude that the line integral of the magnetic field B around the circular path of radius r is μ₀I.
