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If the current in a wire is doubled, how does the magnetic field at a point 5 cm

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Question: If the current in a wire is doubled, how does the magnetic field at a point 5 cm away from the wire change?

Options:

  1. It doubles
  2. It quadruples
  3. It remains the same
  4. It halves

Correct Answer: It doubles

Solution:

According to Biot-Savart Law, the magnetic field is directly proportional to the current. Therefore, if the current is doubled, the magnetic field also doubles.

If the current in a wire is doubled, how does the magnetic field at a point 5 cm

Practice Questions

Q1
If the current in a wire is doubled, how does the magnetic field at a point 5 cm away from the wire change?
  1. It doubles
  2. It quadruples
  3. It remains the same
  4. It halves

Questions & Step-by-Step Solutions

If the current in a wire is doubled, how does the magnetic field at a point 5 cm away from the wire change?
  • Step 1: Understand that a wire carrying current creates a magnetic field around it.
  • Step 2: Know that the strength of the magnetic field depends on the amount of current flowing through the wire.
  • Step 3: Remember the Biot-Savart Law, which states that the magnetic field is directly proportional to the current.
  • Step 4: If the current in the wire is doubled, it means there is now twice as much current flowing.
  • Step 5: Since the magnetic field is directly proportional to the current, if the current is doubled, the magnetic field will also double.
  • Step 6: Conclude that at a point 5 cm away from the wire, the magnetic field will be twice as strong as it was before.
  • Biot-Savart Law – The law that describes how electric currents produce magnetic fields, stating that the magnetic field is directly proportional to the current.
  • Magnetic Field Strength – Understanding how the strength of the magnetic field varies with distance from the current-carrying wire and the amount of current.
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