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The magnetic field due to a straight current-carrying conductor at a distance r

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Question: The magnetic field due to a straight current-carrying conductor at a distance r is given by which formula? (2022)

Options:

  1. B = μ₀I/2πr
  2. B = μ₀I/r
  3. B = μ₀I/4πr²
  4. B = μ₀I/2r

Correct Answer: B = μ₀I/2πr

Exam Year: 2022

Solution:

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

The magnetic field due to a straight current-carrying conductor at a distance r

Practice Questions

Q1
The magnetic field due to a straight current-carrying conductor at a distance r is given by which formula? (2022)
  1. B = μ₀I/2πr
  2. B = μ₀I/r
  3. B = μ₀I/4πr²
  4. B = μ₀I/2r

Questions & Step-by-Step Solutions

The magnetic field due to a straight current-carrying conductor at a distance r is given by which formula? (2022)
  • Step 1: Understand that a straight current-carrying conductor creates a magnetic field around it.
  • Step 2: Identify the variables in the formula: B is the magnetic field, μ₀ is the permeability of free space, I is the current flowing through the conductor, and r is the distance from the conductor.
  • Step 3: Recognize the formula for the magnetic field around a straight conductor: B = μ₀I / (2πr).
  • Step 4: Remember that this formula shows how the magnetic field (B) changes with distance (r) from the conductor.
  • Magnetic Field of a Current-Carrying Conductor – The relationship between the magnetic field (B) and the current (I) flowing through a straight conductor at a distance (r) from it, described by the formula B = μ₀I/2πr.
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