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What is the magnetic field due to a long straight wire carrying current I at a d

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Question: What is the magnetic field due to a long straight wire carrying current I at a distance r from the wire?

Options:

  1. μ₀I/2πr
  2. μ₀I/4πr
  3. μ₀I/πr
  4. μ₀I/8πr

Correct Answer: μ₀I/2πr

Solution:

The magnetic field due to a long straight wire is given by B = (μ₀I)/(2πr).

What is the magnetic field due to a long straight wire carrying current I at a d

Practice Questions

Q1
What is the magnetic field due to a long straight wire carrying current I at a distance r from the wire?
  1. μ₀I/2πr
  2. μ₀I/4πr
  3. μ₀I/πr
  4. μ₀I/8πr

Questions & Step-by-Step Solutions

What is the magnetic field due to a long straight wire carrying current I at a distance r from the wire?
  • 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: Learn 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 the magnetic field B.
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