If a long straight wire carries a current I, what is the magnetic field at a dis

Practice Questions

Q1
If a long straight wire carries a current I, what is the magnetic field at a distance r from the wire according to Ampere's Law?
  1. μ₀I/(2πr)
  2. μ₀I/(4πr²)
  3. I/(2πr)
  4. μ₀I/(r)

Questions & Step-by-Step Solutions

If a long straight wire carries a current I, what is the magnetic field at a distance r from the wire according to Ampere's Law?
  • Step 1: Understand that a long straight wire carrying current creates a magnetic field around it.
  • Step 2: Know that Ampere's Law helps us calculate the magnetic field created by the current in the wire.
  • Step 3: Identify the variables: I is the current in the wire, r is the distance from the wire where we want to find the magnetic field.
  • Step 4: Recall the formula from Ampere's Law for the magnetic field B around a long straight wire: B = μ₀I/(2πr).
  • Step 5: Recognize that μ₀ is a constant called the permeability of free space, which helps in calculating the magnetic field.
  • Step 6: Plug in the values of I (current) and r (distance) into the formula to find the magnetic field B.
  • Ampere's Law – Ampere's Law relates the magnetic field around a conductor to the current flowing through it.
  • Magnetic Field Calculation – Understanding how to calculate the magnetic field produced by a long straight wire using the formula B = μ₀I/(2πr).
  • Distance Dependency – Recognizing that the magnetic field strength decreases with increasing distance from the wire.
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