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In a uniform magnetic field, the magnetic force on a current-carrying conductor

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Question: In a uniform magnetic field, the magnetic force on a current-carrying conductor is maximum when the angle between the conductor and the field is: (2019)

Options:

  1. 0 degrees
  2. 90 degrees
  3. 45 degrees
  4. 180 degrees

Correct Answer: 90 degrees

Exam Year: 2019

Solution: 

The magnetic force is maximum when the angle between the conductor and the magnetic field is 90 degrees, as sin(90°) = 1.

In a uniform magnetic field, the magnetic force on a current-carrying conductor

Practice Questions

Q1
In a uniform magnetic field, the magnetic force on a current-carrying conductor is maximum when the angle between the conductor and the field is: (2019)
  1. 0 degrees
  2. 90 degrees
  3. 45 degrees
  4. 180 degrees

Questions & Step-by-Step Solutions

In a uniform magnetic field, the magnetic force on a current-carrying conductor is maximum when the angle between the conductor and the field is: (2019)
  • Step 1: Understand that a current-carrying conductor is a wire through which electric current flows.
  • Step 2: Know that a magnetic field is an area around a magnet where magnetic forces can be felt.
  • Step 3: Recognize that the magnetic force on the conductor depends on the angle between the conductor and the magnetic field.
  • Step 4: Remember that the formula for magnetic force (F) is F = I * L * B * sin(θ), where I is current, L is length of the conductor, B is magnetic field strength, and θ is the angle.
  • Step 5: Realize that the value of sin(θ) varies with the angle θ, and it reaches its maximum value of 1 when θ is 90 degrees.
  • Step 6: Conclude that the magnetic force is maximum when the angle between the conductor and the magnetic field is 90 degrees.
  • Magnetic Force on a Current-Carrying Conductor – The magnetic force experienced by a conductor carrying an electric current in a magnetic field is given by the formula F = I * L * B * sin(θ), where θ is the angle between the conductor and the magnetic field.
  • Angle Dependency – The magnetic force is dependent on the sine of the angle between the conductor and the magnetic field, reaching its maximum value when θ = 90°.
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