• Home
  • Chemistry
  • Astronomy
  • Energy
  • Nature
  • Biology
  • Physics
  • Electronics
  • Calculating Magnetic Force on a Current-Carrying Wire: A Step-by-Step Guide
    Here's how to calculate the force on the wire:

    Understanding the Concepts

    * Magnetic Force on a Current-Carrying Wire: When a current-carrying wire is placed in a magnetic field, it experiences a force. The magnitude of this force depends on the current, the length of the wire, the strength of the magnetic field, and the angle between the wire and the field.

    * Right-Hand Rule: To determine the direction of the force, use the right-hand rule. Point your thumb in the direction of the current, your fingers in the direction of the magnetic field, and your palm will point in the direction of the force.

    Formula

    The force on a current-carrying wire in a magnetic field is given by:

    * F = B * I * L * sin(θ)

    Where:

    * F is the force (in Newtons)

    * B is the magnetic field strength (in Tesla)

    * I is the current (in Amperes)

    * L is the length of the wire (in meters)

    * θ is the angle between the wire and the magnetic field (in degrees)

    Calculations

    1. Convert length to meters: 50 cm = 0.5 m

    2. Angle: Since the wire is parallel to the magnetic field, θ = 0°. sin(0°) = 0.

    3. Calculate the force:

    F = (0.35 T) * (4.5 A) * (0.5 m) * sin(0°)

    F = 0 N

    Answer: The force acting on the wire is 0 Newtons.

    Explanation: Since the wire is parallel to the magnetic field, the angle between them is 0°. The sine of 0° is 0, which means the force on the wire is zero. This is because the magnetic force is maximum when the wire is perpendicular to the magnetic field and is zero when it is parallel.

    Science Discoveries © www.scienceaq.com