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What is the integral form of Ampere's Law?

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Question: What is the integral form of Ampere\'s Law?

Options:

  1. ∮B·dl = μ₀I_enclosed
  2. ∮E·dl = -dΦ/dt
  3. ∮F·dl = m*a
  4. ∮V·dl = Q/C

Correct Answer: ∮B·dl = μ₀I_enclosed

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.

What is the integral form of Ampere's Law?

Practice Questions

Q1
What is the integral form of Ampere's Law?
  1. ∮B·dl = μ₀I_enclosed
  2. ∮E·dl = -dΦ/dt
  3. ∮F·dl = m*a
  4. ∮V·dl = Q/C

Questions & Step-by-Step Solutions

What is the integral form of Ampere's Law?
Correct Answer: ∮ B · dl = μ₀ I_enclosed
  • 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.
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