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According to Ampere's Law, the line integral of the magnetic field B around a cl

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Question: According to Ampere\'s Law, the line integral of the magnetic field B around a closed path is equal to what?

Options:

  1. Zero
  2. The product of permeability and current
  3. The product of permittivity and charge
  4. The electric field times the area

Correct Answer: The product of permeability and current

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.

According to Ampere's Law, the line integral of the magnetic field B around a cl

Practice Questions

Q1
According to Ampere's Law, the line integral of the magnetic field B around a closed path is equal to what?
  1. Zero
  2. The product of permeability and current
  3. The product of permittivity and charge
  4. The electric field times the area

Questions & Step-by-Step Solutions

According to Ampere's Law, the line integral of the magnetic field B around a closed path is equal to what?
  • 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.
  • Ampere's Law – Ampere's Law relates the magnetic field around a closed loop to the electric current passing through the loop.
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