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

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Question: If a long straight wire carries a current I, what is the magnetic field B at a distance r from the wire?

Options:

  1. B = μ₀I/(2πr)
  2. B = μ₀I/(4πr^2)
  3. B = μ₀I/(2r)
  4. B = μ₀I/(πr^2)

Correct Answer: B = μ₀I/(2πr)

Solution:

The magnetic field B at a distance r from a long straight wire carrying current I is given by B = μ₀I/(2πr).

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

Practice Questions

Q1
If a long straight wire carries a current I, what is the magnetic field B at a distance r from the wire?
  1. B = μ₀I/(2πr)
  2. B = μ₀I/(4πr^2)
  3. B = μ₀I/(2r)
  4. B = μ₀I/(πr^2)

Questions & Step-by-Step Solutions

If a long straight wire carries a current I, what is the magnetic field B at a distance r from the wire?
Correct Answer: B = μ₀I/(2πr)
  • Step 1: Understand that a long straight wire carrying current creates a magnetic field around it.
  • Step 2: Identify the variables: I is the current flowing through the wire, and r is the distance from the wire where you want to find the magnetic field.
  • Step 3: Know the formula for the magnetic field B around a long straight wire: B = μ₀I/(2πr).
  • Step 4: Recognize that μ₀ is a constant called the permeability of free space, which has a value of approximately 4π × 10^-7 T·m/A.
  • Step 5: Plug in the values of I (current) and r (distance) into the formula to calculate B.
  • Magnetic Field Around a Current-Carrying Wire – The relationship between the current flowing through a long straight wire and the magnetic field it generates at a certain distance from the wire.
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