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According to Ampere's Law, what is the magnetic field inside a long straight con

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Question: According to Ampere\'s Law, what is the magnetic field inside a long straight conductor carrying current I?

Options:

  1. Zero
  2. μ₀I/2πr
  3. μ₀I/4πr
  4. μ₀I/πr

Correct Answer: Zero

Solution:

Inside a long straight conductor, the magnetic field is zero because the contributions from all parts of the conductor cancel out.

According to Ampere's Law, what is the magnetic field inside a long straight con

Practice Questions

Q1
According to Ampere's Law, what is the magnetic field inside a long straight conductor carrying current I?
  1. Zero
  2. μ₀I/2πr
  3. μ₀I/4πr
  4. μ₀I/πr

Questions & Step-by-Step Solutions

According to Ampere's Law, what is the magnetic field inside a long straight conductor carrying current I?
  • Step 1: Understand that a long straight conductor is a wire that carries an electric current (I).
  • Step 2: Recall Ampere's Law, which relates the magnetic field around a conductor to the current flowing through it.
  • Step 3: Recognize that the magnetic field is created by the movement of electric charges (the current).
  • Step 4: Visualize the conductor as having many small sections, each contributing to the magnetic field.
  • Step 5: Note that inside the conductor, the contributions to the magnetic field from opposite sides of the wire cancel each other out.
  • Step 6: Conclude that because of this cancellation, the total magnetic field inside the long straight conductor is zero.
  • Ampere's Law – Ampere's Law relates the integrated magnetic field around a closed loop to the electric current passing through the loop.
  • Magnetic Field in Conductors – The magnetic field inside a long straight conductor carrying current is determined by the distribution of current and the geometry of the conductor.
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