The integral form of Ampere's Law states that the line integral of the magnetic field B around a closed loop is equal to μ₀ times the enclosed current I.
Questions & Step-by-step Solutions
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Q
Q: What is the integral form of Ampere's Law?
Solution: The integral form of Ampere's Law states that the line integral of the magnetic field B around a closed loop is equal to μ₀ times the enclosed current I.
Steps: 6
Step 1: Understand that Ampere's Law relates magnetic fields to electric currents.
Step 2: Know that the integral form of Ampere's Law involves a closed loop (like a circle).
Step 3: The magnetic field B is measured along this closed loop.
Step 4: The line integral means you add up the magnetic field B along the entire loop.
Step 5: The result of this line integral is equal to μ₀ (a constant) times the total current I that is enclosed by the loop.
Step 6: Write the equation: ∮ B · dl = μ₀ * I, where ∮ B · dl is the line integral around the loop.
