What is the expression for the magnetic field B at a distance r from a long stra

Practice Questions

Q1
What is the expression for the magnetic field B at a distance r from a long straight wire carrying current I according to the Biot-Savart Law?
  1. B = (μ₀I)/(2πr)
  2. B = (μ₀I)/(4πr²)
  3. B = (I)/(2πr)
  4. B = (μ₀I²)/(2πr)

Questions & Step-by-Step Solutions

What is the expression for the magnetic field B at a distance r from a long straight wire carrying current I according to the Biot-Savart Law?
  • Step 1: Understand that we are looking for the magnetic field (B) created by a long straight wire that carries an electric current (I).
  • Step 2: Recall that the Biot-Savart Law helps us calculate the magnetic field due to a current-carrying wire.
  • Step 3: Recognize that the formula for the magnetic field B at a distance r from a long straight wire is derived from the Biot-Savart Law.
  • Step 4: The formula is B = (μ₀I)/(2πr), where μ₀ is the permeability of free space, I is the current, and r is the distance from the wire.
  • Step 5: Remember that this formula shows that the magnetic field B decreases as the distance r from the wire increases.
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